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Finding the Third Proportional to 587,694 and 872,901

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Solution

The third proportional to 587,694 and 872,901 is: 1,296,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,694 : 872,901 = 872,901 : x
  2. Step 2: Convert to fraction form
    587,694/872,901 = 872,901/x
  3. Step 3: Cross multiply
    587,694x = 872,901 × 872,901
  4. Step 4: Simplify right side
    587,694x = 761,956,155,801
  5. Step 5: Solve for x
    x = 761,956,155,801/587,694
  6. Step 6: Final answer
    x = 1,296,518.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.