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Finding the Third Proportional to 744,632 and 1,607,365

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Solution

The third proportional to 744,632 and 1,607,365 is: 3,469,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,632 : 1,607,365 = 1,607,365 : x
  2. Step 2: Convert to fraction form
    744,632/1,607,365 = 1,607,365/x
  3. Step 3: Cross multiply
    744,632x = 1,607,365 × 1,607,365
  4. Step 4: Simplify right side
    744,632x = 2,583,622,243,225
  5. Step 5: Solve for x
    x = 2,583,622,243,225/744,632
  6. Step 6: Final answer
    x = 3,469,663.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.