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Finding the Third Proportional to 3,154,134 and 4,941,441

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Solution

The third proportional to 3,154,134 and 4,941,441 is: 7,741,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,134 : 4,941,441 = 4,941,441 : x
  2. Step 2: Convert to fraction form
    3,154,134/4,941,441 = 4,941,441/x
  3. Step 3: Cross multiply
    3,154,134x = 4,941,441 × 4,941,441
  4. Step 4: Simplify right side
    3,154,134x = 24,417,839,156,481
  5. Step 5: Solve for x
    x = 24,417,839,156,481/3,154,134
  6. Step 6: Final answer
    x = 7,741,535.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.