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Finding the Third Proportional to 469,350 and 1,009,460

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Solution

The third proportional to 469,350 and 1,009,460 is: 2,171,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,350 : 1,009,460 = 1,009,460 : x
  2. Step 2: Convert to fraction form
    469,350/1,009,460 = 1,009,460/x
  3. Step 3: Cross multiply
    469,350x = 1,009,460 × 1,009,460
  4. Step 4: Simplify right side
    469,350x = 1,019,009,491,600
  5. Step 5: Solve for x
    x = 1,019,009,491,600/469,350
  6. Step 6: Final answer
    x = 2,171,107.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.