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Finding the Third Proportional to 1,213,793.44 and 1,812,377.53

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Solution

The third proportional to 1,213,793.44 and 1,812,377.53 is: 2,706,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,793.44 : 1,812,377.53 = 1,812,377.53 : x
  2. Step 2: Convert to fraction form
    1,213,793.44/1,812,377.53 = 1,812,377.53/x
  3. Step 3: Cross multiply
    1,213,793.44x = 1,812,377.53 × 1,812,377.53
  4. Step 4: Simplify right side
    1,213,793.44x = 3,284,712,315,779.85
  5. Step 5: Solve for x
    x = 3,284,712,315,779.85/1,213,793.44
  6. Step 6: Final answer
    x = 2,706,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.