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Finding the Third Proportional to 1,380,818.25 and 2,953,545.75

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Solution

The third proportional to 1,380,818.25 and 2,953,545.75 is: 6,317,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,818.25 : 2,953,545.75 = 2,953,545.75 : x
  2. Step 2: Convert to fraction form
    1,380,818.25/2,953,545.75 = 2,953,545.75/x
  3. Step 3: Cross multiply
    1,380,818.25x = 2,953,545.75 × 2,953,545.75
  4. Step 4: Simplify right side
    1,380,818.25x = 8,723,432,497,343.06
  5. Step 5: Solve for x
    x = 8,723,432,497,343.06/1,380,818.25
  6. Step 6: Final answer
    x = 6,317,581.98

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