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Finding the Third Proportional to 2,677,724 and 5,886,822

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Solution

The third proportional to 2,677,724 and 5,886,822 is: 12,941,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,724 : 5,886,822 = 5,886,822 : x
  2. Step 2: Convert to fraction form
    2,677,724/5,886,822 = 5,886,822/x
  3. Step 3: Cross multiply
    2,677,724x = 5,886,822 × 5,886,822
  4. Step 4: Simplify right side
    2,677,724x = 34,654,673,259,684
  5. Step 5: Solve for x
    x = 34,654,673,259,684/2,677,724
  6. Step 6: Final answer
    x = 12,941,839.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.