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Finding the Third Proportional to 435,742 and 933,691

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Solution

The third proportional to 435,742 and 933,691 is: 2,000,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,742 : 933,691 = 933,691 : x
  2. Step 2: Convert to fraction form
    435,742/933,691 = 933,691/x
  3. Step 3: Cross multiply
    435,742x = 933,691 × 933,691
  4. Step 4: Simplify right side
    435,742x = 871,778,883,481
  5. Step 5: Solve for x
    x = 871,778,883,481/435,742
  6. Step 6: Final answer
    x = 2,000,676.74

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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.