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Finding the Third Proportional to 747,942 and 1,645,464

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Solution

The third proportional to 747,942 and 1,645,464 is: 3,620,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,942 : 1,645,464 = 1,645,464 : x
  2. Step 2: Convert to fraction form
    747,942/1,645,464 = 1,645,464/x
  3. Step 3: Cross multiply
    747,942x = 1,645,464 × 1,645,464
  4. Step 4: Simplify right side
    747,942x = 2,707,551,775,296
  5. Step 5: Solve for x
    x = 2,707,551,775,296/747,942
  6. Step 6: Final answer
    x = 3,620,002.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.