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Finding the Third Proportional to 2,002,424 and 4,146,787

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Solution

The third proportional to 2,002,424 and 4,146,787 is: 8,587,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,424 : 4,146,787 = 4,146,787 : x
  2. Step 2: Convert to fraction form
    2,002,424/4,146,787 = 4,146,787/x
  3. Step 3: Cross multiply
    2,002,424x = 4,146,787 × 4,146,787
  4. Step 4: Simplify right side
    2,002,424x = 17,195,842,423,369
  5. Step 5: Solve for x
    x = 17,195,842,423,369/2,002,424
  6. Step 6: Final answer
    x = 8,587,513.15

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