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Finding the Third Proportional to 532,587 and 1,162,698

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Solution

The third proportional to 532,587 and 1,162,698 is: 2,538,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,587 : 1,162,698 = 1,162,698 : x
  2. Step 2: Convert to fraction form
    532,587/1,162,698 = 1,162,698/x
  3. Step 3: Cross multiply
    532,587x = 1,162,698 × 1,162,698
  4. Step 4: Simplify right side
    532,587x = 1,351,866,639,204
  5. Step 5: Solve for x
    x = 1,351,866,639,204/532,587
  6. Step 6: Final answer
    x = 2,538,301.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.