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Finding the Third Proportional to 432,738.84 and 1,001,711.91

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Solution

The third proportional to 432,738.84 and 1,001,711.91 is: 2,318,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,738.84 : 1,001,711.91 = 1,001,711.91 : x
  2. Step 2: Convert to fraction form
    432,738.84/1,001,711.91 = 1,001,711.91/x
  3. Step 3: Cross multiply
    432,738.84x = 1,001,711.91 × 1,001,711.91
  4. Step 4: Simplify right side
    432,738.84x = 1,003,426,743,123.01
  5. Step 5: Solve for x
    x = 1,003,426,743,123.01/432,738.84
  6. Step 6: Final answer
    x = 2,318,781.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.