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Finding the Third Proportional to 747,938 and 1,609,924

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Solution

The third proportional to 747,938 and 1,609,924 is: 3,465,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,938 : 1,609,924 = 1,609,924 : x
  2. Step 2: Convert to fraction form
    747,938/1,609,924 = 1,609,924/x
  3. Step 3: Cross multiply
    747,938x = 1,609,924 × 1,609,924
  4. Step 4: Simplify right side
    747,938x = 2,591,855,285,776
  5. Step 5: Solve for x
    x = 2,591,855,285,776/747,938
  6. Step 6: Final answer
    x = 3,465,334.41

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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.