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Finding the Third Proportional to 987,498 and 1,474,776

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Solution

The third proportional to 987,498 and 1,474,776 is: 2,202,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,498 : 1,474,776 = 1,474,776 : x
  2. Step 2: Convert to fraction form
    987,498/1,474,776 = 1,474,776/x
  3. Step 3: Cross multiply
    987,498x = 1,474,776 × 1,474,776
  4. Step 4: Simplify right side
    987,498x = 2,174,964,250,176
  5. Step 5: Solve for x
    x = 2,174,964,250,176/987,498
  6. Step 6: Final answer
    x = 2,202,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.