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Finding the Third Proportional to 476,658 and 1,022,388.75

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Solution

The third proportional to 476,658 and 1,022,388.75 is: 2,192,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,658 : 1,022,388.75 = 1,022,388.75 : x
  2. Step 2: Convert to fraction form
    476,658/1,022,388.75 = 1,022,388.75/x
  3. Step 3: Cross multiply
    476,658x = 1,022,388.75 × 1,022,388.75
  4. Step 4: Simplify right side
    476,658x = 1,045,278,756,126.56
  5. Step 5: Solve for x
    x = 1,045,278,756,126.56/476,658
  6. Step 6: Final answer
    x = 2,192,932.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.