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Finding the Third Proportional to 454,310 and 991,140

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Solution

The third proportional to 454,310 and 991,140 is: 2,162,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,310 : 991,140 = 991,140 : x
  2. Step 2: Convert to fraction form
    454,310/991,140 = 991,140/x
  3. Step 3: Cross multiply
    454,310x = 991,140 × 991,140
  4. Step 4: Simplify right side
    454,310x = 982,358,499,600
  5. Step 5: Solve for x
    x = 982,358,499,600/454,310
  6. Step 6: Final answer
    x = 2,162,308.78

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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.