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Finding the Third Proportional to 758,733 and 1,587,617

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Solution

The third proportional to 758,733 and 1,587,617 is: 3,322,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,733 : 1,587,617 = 1,587,617 : x
  2. Step 2: Convert to fraction form
    758,733/1,587,617 = 1,587,617/x
  3. Step 3: Cross multiply
    758,733x = 1,587,617 × 1,587,617
  4. Step 4: Simplify right side
    758,733x = 2,520,527,738,689
  5. Step 5: Solve for x
    x = 2,520,527,738,689/758,733
  6. Step 6: Final answer
    x = 3,322,022.03

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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.