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Finding the Third Proportional to 2,034,449.16 and 3,147,338.53

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Solution

The third proportional to 2,034,449.16 and 3,147,338.53 is: 4,869,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,449.16 : 3,147,338.53 = 3,147,338.53 : x
  2. Step 2: Convert to fraction form
    2,034,449.16/3,147,338.53 = 3,147,338.53/x
  3. Step 3: Cross multiply
    2,034,449.16x = 3,147,338.53 × 3,147,338.53
  4. Step 4: Simplify right side
    2,034,449.16x = 9,905,739,830,290.91
  5. Step 5: Solve for x
    x = 9,905,739,830,290.91/2,034,449.16
  6. Step 6: Final answer
    x = 4,869,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.