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Finding the Third Proportional to 469,488 and 1,011,876

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Solution

The third proportional to 469,488 and 1,011,876 is: 2,180,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,488 : 1,011,876 = 1,011,876 : x
  2. Step 2: Convert to fraction form
    469,488/1,011,876 = 1,011,876/x
  3. Step 3: Cross multiply
    469,488x = 1,011,876 × 1,011,876
  4. Step 4: Simplify right side
    469,488x = 1,023,893,039,376
  5. Step 5: Solve for x
    x = 1,023,893,039,376/469,488
  6. Step 6: Final answer
    x = 2,180,871.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.