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Finding the Third Proportional to 863,463.38 and 1,295,294.63

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Solution

The third proportional to 863,463.38 and 1,295,294.63 is: 1,943,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,463.38 : 1,295,294.63 = 1,295,294.63 : x
  2. Step 2: Convert to fraction form
    863,463.38/1,295,294.63 = 1,295,294.63/x
  3. Step 3: Cross multiply
    863,463.38x = 1,295,294.63 × 1,295,294.63
  4. Step 4: Simplify right side
    863,463.38x = 1,677,788,165,553.89
  5. Step 5: Solve for x
    x = 1,677,788,165,553.89/863,463.38
  6. Step 6: Final answer
    x = 1,943,091.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.