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Finding the Third Proportional to 2,002,416 and 4,146,784

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Solution

The third proportional to 2,002,416 and 4,146,784 is: 8,587,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,416 : 4,146,784 = 4,146,784 : x
  2. Step 2: Convert to fraction form
    2,002,416/4,146,784 = 4,146,784/x
  3. Step 3: Cross multiply
    2,002,416x = 4,146,784 × 4,146,784
  4. Step 4: Simplify right side
    2,002,416x = 17,195,817,542,656
  5. Step 5: Solve for x
    x = 17,195,817,542,656/2,002,416
  6. Step 6: Final answer
    x = 8,587,535.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.