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Finding the Third Proportional to 382,742 and 826,724

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Solution

The third proportional to 382,742 and 826,724 is: 1,785,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,742 : 826,724 = 826,724 : x
  2. Step 2: Convert to fraction form
    382,742/826,724 = 826,724/x
  3. Step 3: Cross multiply
    382,742x = 826,724 × 826,724
  4. Step 4: Simplify right side
    382,742x = 683,472,572,176
  5. Step 5: Solve for x
    x = 683,472,572,176/382,742
  6. Step 6: Final answer
    x = 1,785,726.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.