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Finding the Third Proportional to 934,683 and 1,400,463

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Solution

The third proportional to 934,683 and 1,400,463 is: 2,098,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,683 : 1,400,463 = 1,400,463 : x
  2. Step 2: Convert to fraction form
    934,683/1,400,463 = 1,400,463/x
  3. Step 3: Cross multiply
    934,683x = 1,400,463 × 1,400,463
  4. Step 4: Simplify right side
    934,683x = 1,961,296,614,369
  5. Step 5: Solve for x
    x = 1,961,296,614,369/934,683
  6. Step 6: Final answer
    x = 2,098,354.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.