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Finding the Third Proportional to 532,425 and 1,163,102

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Solution

The third proportional to 532,425 and 1,163,102 is: 2,540,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,425 : 1,163,102 = 1,163,102 : x
  2. Step 2: Convert to fraction form
    532,425/1,163,102 = 1,163,102/x
  3. Step 3: Cross multiply
    532,425x = 1,163,102 × 1,163,102
  4. Step 4: Simplify right side
    532,425x = 1,352,806,262,404
  5. Step 5: Solve for x
    x = 1,352,806,262,404/532,425
  6. Step 6: Final answer
    x = 2,540,839.11

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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.