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Finding the Third Proportional to 435,632 and 943,663

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Solution

The third proportional to 435,632 and 943,663 is: 2,044,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,632 : 943,663 = 943,663 : x
  2. Step 2: Convert to fraction form
    435,632/943,663 = 943,663/x
  3. Step 3: Cross multiply
    435,632x = 943,663 × 943,663
  4. Step 4: Simplify right side
    435,632x = 890,499,857,569
  5. Step 5: Solve for x
    x = 890,499,857,569/435,632
  6. Step 6: Final answer
    x = 2,044,156.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.