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Finding the Third Proportional to 1,031,671.69 and 2,427,480.14

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Solution

The third proportional to 1,031,671.69 and 2,427,480.14 is: 5,711,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,671.69 : 2,427,480.14 = 2,427,480.14 : x
  2. Step 2: Convert to fraction form
    1,031,671.69/2,427,480.14 = 2,427,480.14/x
  3. Step 3: Cross multiply
    1,031,671.69x = 2,427,480.14 × 2,427,480.14
  4. Step 4: Simplify right side
    1,031,671.69x = 5,892,659,833,128.77
  5. Step 5: Solve for x
    x = 5,892,659,833,128.77/1,031,671.69
  6. Step 6: Final answer
    x = 5,711,758.79

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.