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Finding the Third Proportional to 587,154 and 899,686

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Solution

The third proportional to 587,154 and 899,686 is: 1,378,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,154 : 899,686 = 899,686 : x
  2. Step 2: Convert to fraction form
    587,154/899,686 = 899,686/x
  3. Step 3: Cross multiply
    587,154x = 899,686 × 899,686
  4. Step 4: Simplify right side
    587,154x = 809,434,898,596
  5. Step 5: Solve for x
    x = 809,434,898,596/587,154
  6. Step 6: Final answer
    x = 1,378,573.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.