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Finding the Third Proportional to 3,134,732 and 4,414,382

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Solution

The third proportional to 3,134,732 and 4,414,382 is: 6,216,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,732 : 4,414,382 = 4,414,382 : x
  2. Step 2: Convert to fraction form
    3,134,732/4,414,382 = 4,414,382/x
  3. Step 3: Cross multiply
    3,134,732x = 4,414,382 × 4,414,382
  4. Step 4: Simplify right side
    3,134,732x = 19,486,768,441,924
  5. Step 5: Solve for x
    x = 19,486,768,441,924/3,134,732
  6. Step 6: Final answer
    x = 6,216,406.52

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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.