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Finding the Third Proportional to 721,564 and 1,566,085

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Solution

The third proportional to 721,564 and 1,566,085 is: 3,399,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,564 : 1,566,085 = 1,566,085 : x
  2. Step 2: Convert to fraction form
    721,564/1,566,085 = 1,566,085/x
  3. Step 3: Cross multiply
    721,564x = 1,566,085 × 1,566,085
  4. Step 4: Simplify right side
    721,564x = 2,452,622,227,225
  5. Step 5: Solve for x
    x = 2,452,622,227,225/721,564
  6. Step 6: Final answer
    x = 3,399,036.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.