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Finding the Third Proportional to 2,441,792 and 5,290,352

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Solution

The third proportional to 2,441,792 and 5,290,352 is: 11,462,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441,792 : 5,290,352 = 5,290,352 : x
  2. Step 2: Convert to fraction form
    2,441,792/5,290,352 = 5,290,352/x
  3. Step 3: Cross multiply
    2,441,792x = 5,290,352 × 5,290,352
  4. Step 4: Simplify right side
    2,441,792x = 27,987,824,283,904
  5. Step 5: Solve for x
    x = 27,987,824,283,904/2,441,792
  6. Step 6: Final answer
    x = 11,462,001.79

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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.