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Finding the Third Proportional to 3,134,726 and 4,414,372

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Solution

The third proportional to 3,134,726 and 4,414,372 is: 6,216,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,726 : 4,414,372 = 4,414,372 : x
  2. Step 2: Convert to fraction form
    3,134,726/4,414,372 = 4,414,372/x
  3. Step 3: Cross multiply
    3,134,726x = 4,414,372 × 4,414,372
  4. Step 4: Simplify right side
    3,134,726x = 19,486,680,154,384
  5. Step 5: Solve for x
    x = 19,486,680,154,384/3,134,726
  6. Step 6: Final answer
    x = 6,216,390.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.