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Finding the Third Proportional to 440,502 and 932,520

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Solution

The third proportional to 440,502 and 932,520 is: 1,974,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,502 : 932,520 = 932,520 : x
  2. Step 2: Convert to fraction form
    440,502/932,520 = 932,520/x
  3. Step 3: Cross multiply
    440,502x = 932,520 × 932,520
  4. Step 4: Simplify right side
    440,502x = 869,593,550,400
  5. Step 5: Solve for x
    x = 869,593,550,400/440,502
  6. Step 6: Final answer
    x = 1,974,096.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.