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Finding the Third Proportional to 2,034,281.25 and 3,077,757

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Solution

The third proportional to 2,034,281.25 and 3,077,757 is: 4,656,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,281.25 : 3,077,757 = 3,077,757 : x
  2. Step 2: Convert to fraction form
    2,034,281.25/3,077,757 = 3,077,757/x
  3. Step 3: Cross multiply
    2,034,281.25x = 3,077,757 × 3,077,757
  4. Step 4: Simplify right side
    2,034,281.25x = 9,472,588,151,049
  5. Step 5: Solve for x
    x = 9,472,588,151,049/2,034,281.25
  6. Step 6: Final answer
    x = 4,656,479.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.