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Finding the Third Proportional to 652,461 and 998,191.88

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Solution

The third proportional to 652,461 and 998,191.88 is: 1,527,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,461 : 998,191.88 = 998,191.88 : x
  2. Step 2: Convert to fraction form
    652,461/998,191.88 = 998,191.88/x
  3. Step 3: Cross multiply
    652,461x = 998,191.88 × 998,191.88
  4. Step 4: Simplify right side
    652,461x = 996,387,019,316.02
  5. Step 5: Solve for x
    x = 996,387,019,316.02/652,461
  6. Step 6: Final answer
    x = 1,527,121.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.