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Finding the Third Proportional to 472,295,977.03 and 1,027,658,724.75

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Solution

The third proportional to 472,295,977.03 and 1,027,658,724.75 is: 2,236,060,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295,977.03 : 1,027,658,724.75 = 1,027,658,724.75 : x
  2. Step 2: Convert to fraction form
    472,295,977.03/1,027,658,724.75 = 1,027,658,724.75/x
  3. Step 3: Cross multiply
    472,295,977.03x = 1,027,658,724.75 × 1,027,658,724.75
  4. Step 4: Simplify right side
    472,295,977.03x = 1,056,082,454,554,796,288
  5. Step 5: Solve for x
    x = 1,056,082,454,554,796,288/472,295,977.03
  6. Step 6: Final answer
    x = 2,236,060,660.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.