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Finding the Third Proportional to 432,729.84 and 1,123,345.34

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Solution

The third proportional to 432,729.84 and 1,123,345.34 is: 2,916,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,729.84 : 1,123,345.34 = 1,123,345.34 : x
  2. Step 2: Convert to fraction form
    432,729.84/1,123,345.34 = 1,123,345.34/x
  3. Step 3: Cross multiply
    432,729.84x = 1,123,345.34 × 1,123,345.34
  4. Step 4: Simplify right side
    432,729.84x = 1,261,904,743,772.53
  5. Step 5: Solve for x
    x = 1,261,904,743,772.53/432,729.84
  6. Step 6: Final answer
    x = 2,916,149.10

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.