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Finding the Third Proportional to 601,869,987 and 847,565,568

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Solution

The third proportional to 601,869,987 and 847,565,568 is: 1,193,559,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,869,987 : 847,565,568 = 847,565,568 : x
  2. Step 2: Convert to fraction form
    601,869,987/847,565,568 = 847,565,568/x
  3. Step 3: Cross multiply
    601,869,987x = 847,565,568 × 847,565,568
  4. Step 4: Simplify right side
    601,869,987x = 718,367,392,059,162,624
  5. Step 5: Solve for x
    x = 718,367,392,059,162,624/601,869,987
  6. Step 6: Final answer
    x = 1,193,559,086.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.