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Finding the Third Proportional to 747,897 and 1,600,716

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Solution

The third proportional to 747,897 and 1,600,716 is: 3,425,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,897 : 1,600,716 = 1,600,716 : x
  2. Step 2: Convert to fraction form
    747,897/1,600,716 = 1,600,716/x
  3. Step 3: Cross multiply
    747,897x = 1,600,716 × 1,600,716
  4. Step 4: Simplify right side
    747,897x = 2,562,291,712,656
  5. Step 5: Solve for x
    x = 2,562,291,712,656/747,897
  6. Step 6: Final answer
    x = 3,425,995.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.