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Finding the Third Proportional to 2,287,822 and 4,974,044

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Solution

The third proportional to 2,287,822 and 4,974,044 is: 10,814,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,822 : 4,974,044 = 4,974,044 : x
  2. Step 2: Convert to fraction form
    2,287,822/4,974,044 = 4,974,044/x
  3. Step 3: Cross multiply
    2,287,822x = 4,974,044 × 4,974,044
  4. Step 4: Simplify right side
    2,287,822x = 24,741,113,713,936
  5. Step 5: Solve for x
    x = 24,741,113,713,936/2,287,822
  6. Step 6: Final answer
    x = 10,814,265.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.