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Finding the Third Proportional to 747,940 and 1,609,928

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Solution

The third proportional to 747,940 and 1,609,928 is: 3,465,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,940 : 1,609,928 = 1,609,928 : x
  2. Step 2: Convert to fraction form
    747,940/1,609,928 = 1,609,928/x
  3. Step 3: Cross multiply
    747,940x = 1,609,928 × 1,609,928
  4. Step 4: Simplify right side
    747,940x = 2,591,868,165,184
  5. Step 5: Solve for x
    x = 2,591,868,165,184/747,940
  6. Step 6: Final answer
    x = 3,465,342.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.