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Finding the Third Proportional to 3,154,107 and 4,941,396

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Solution

The third proportional to 3,154,107 and 4,941,396 is: 7,741,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,107 : 4,941,396 = 4,941,396 : x
  2. Step 2: Convert to fraction form
    3,154,107/4,941,396 = 4,941,396/x
  3. Step 3: Cross multiply
    3,154,107x = 4,941,396 × 4,941,396
  4. Step 4: Simplify right side
    3,154,107x = 24,417,394,428,816
  5. Step 5: Solve for x
    x = 24,417,394,428,816/3,154,107
  6. Step 6: Final answer
    x = 7,741,460.40

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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.