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Finding the Third Proportional to 393,644.81 and 826,939.13

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Solution

The third proportional to 393,644.81 and 826,939.13 is: 1,737,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,644.81 : 826,939.13 = 826,939.13 : x
  2. Step 2: Convert to fraction form
    393,644.81/826,939.13 = 826,939.13/x
  3. Step 3: Cross multiply
    393,644.81x = 826,939.13 × 826,939.13
  4. Step 4: Simplify right side
    393,644.81x = 683,828,316,455.77
  5. Step 5: Solve for x
    x = 683,828,316,455.77/393,644.81
  6. Step 6: Final answer
    x = 1,737,170.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.