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Finding the Third Proportional to 708,071 and 1,534,294

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Solution

The third proportional to 708,071 and 1,534,294 is: 3,324,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,071 : 1,534,294 = 1,534,294 : x
  2. Step 2: Convert to fraction form
    708,071/1,534,294 = 1,534,294/x
  3. Step 3: Cross multiply
    708,071x = 1,534,294 × 1,534,294
  4. Step 4: Simplify right side
    708,071x = 2,354,058,078,436
  5. Step 5: Solve for x
    x = 2,354,058,078,436/708,071
  6. Step 6: Final answer
    x = 3,324,607.39

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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.