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Finding the Third Proportional to 644,712 and 1,516,524

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Solution

The third proportional to 644,712 and 1,516,524 is: 3,567,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,712 : 1,516,524 = 1,516,524 : x
  2. Step 2: Convert to fraction form
    644,712/1,516,524 = 1,516,524/x
  3. Step 3: Cross multiply
    644,712x = 1,516,524 × 1,516,524
  4. Step 4: Simplify right side
    644,712x = 2,299,845,042,576
  5. Step 5: Solve for x
    x = 2,299,845,042,576/644,712
  6. Step 6: Final answer
    x = 3,567,244.04

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.