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Finding the Third Proportional to 382,725 and 826,686

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Solution

The third proportional to 382,725 and 826,686 is: 1,785,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,725 : 826,686 = 826,686 : x
  2. Step 2: Convert to fraction form
    382,725/826,686 = 826,686/x
  3. Step 3: Cross multiply
    382,725x = 826,686 × 826,686
  4. Step 4: Simplify right side
    382,725x = 683,409,742,596
  5. Step 5: Solve for x
    x = 683,409,742,596/382,725
  6. Step 6: Final answer
    x = 1,785,641.76

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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.