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Finding the Third Proportional to 1,281,984 and 1,992,900

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Solution

The third proportional to 1,281,984 and 1,992,900 is: 3,098,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,984 : 1,992,900 = 1,992,900 : x
  2. Step 2: Convert to fraction form
    1,281,984/1,992,900 = 1,992,900/x
  3. Step 3: Cross multiply
    1,281,984x = 1,992,900 × 1,992,900
  4. Step 4: Simplify right side
    1,281,984x = 3,971,650,410,000
  5. Step 5: Solve for x
    x = 3,971,650,410,000/1,281,984
  6. Step 6: Final answer
    x = 3,098,049.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.