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Finding the Third Proportional to 435,762 and 943,902

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Solution

The third proportional to 435,762 and 943,902 is: 2,044,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,762 : 943,902 = 943,902 : x
  2. Step 2: Convert to fraction form
    435,762/943,902 = 943,902/x
  3. Step 3: Cross multiply
    435,762x = 943,902 × 943,902
  4. Step 4: Simplify right side
    435,762x = 890,950,985,604
  5. Step 5: Solve for x
    x = 890,950,985,604/435,762
  6. Step 6: Final answer
    x = 2,044,581.64

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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.