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Finding the Third Proportional to 747,936 and 1,609,920

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Solution

The third proportional to 747,936 and 1,609,920 is: 3,465,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,936 : 1,609,920 = 1,609,920 : x
  2. Step 2: Convert to fraction form
    747,936/1,609,920 = 1,609,920/x
  3. Step 3: Cross multiply
    747,936x = 1,609,920 × 1,609,920
  4. Step 4: Simplify right side
    747,936x = 2,591,842,406,400
  5. Step 5: Solve for x
    x = 2,591,842,406,400/747,936
  6. Step 6: Final answer
    x = 3,465,326.45

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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.