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Finding the Third Proportional to 462,132 and 990,648

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Solution

The third proportional to 462,132 and 990,648 is: 2,123,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,132 : 990,648 = 990,648 : x
  2. Step 2: Convert to fraction form
    462,132/990,648 = 990,648/x
  3. Step 3: Cross multiply
    462,132x = 990,648 × 990,648
  4. Step 4: Simplify right side
    462,132x = 981,383,459,904
  5. Step 5: Solve for x
    x = 981,383,459,904/462,132
  6. Step 6: Final answer
    x = 2,123,599.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.