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Finding the Third Proportional to 758,742 and 1,587,630

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Solution

The third proportional to 758,742 and 1,587,630 is: 3,322,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,742 : 1,587,630 = 1,587,630 : x
  2. Step 2: Convert to fraction form
    758,742/1,587,630 = 1,587,630/x
  3. Step 3: Cross multiply
    758,742x = 1,587,630 × 1,587,630
  4. Step 4: Simplify right side
    758,742x = 2,520,569,016,900
  5. Step 5: Solve for x
    x = 2,520,569,016,900/758,742
  6. Step 6: Final answer
    x = 3,322,037.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.