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Finding the Third Proportional to 724,356 and 1,542,272

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Solution

The third proportional to 724,356 and 1,542,272 is: 3,283,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,356 : 1,542,272 = 1,542,272 : x
  2. Step 2: Convert to fraction form
    724,356/1,542,272 = 1,542,272/x
  3. Step 3: Cross multiply
    724,356x = 1,542,272 × 1,542,272
  4. Step 4: Simplify right side
    724,356x = 2,378,602,921,984
  5. Step 5: Solve for x
    x = 2,378,602,921,984/724,356
  6. Step 6: Final answer
    x = 3,283,748.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.