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Finding the Third Proportional to 2,225,448 and 4,765,824

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Solution

The third proportional to 2,225,448 and 4,765,824 is: 10,206,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,448 : 4,765,824 = 4,765,824 : x
  2. Step 2: Convert to fraction form
    2,225,448/4,765,824 = 4,765,824/x
  3. Step 3: Cross multiply
    2,225,448x = 4,765,824 × 4,765,824
  4. Step 4: Simplify right side
    2,225,448x = 22,713,078,398,976
  5. Step 5: Solve for x
    x = 22,713,078,398,976/2,225,448
  6. Step 6: Final answer
    x = 10,206,070.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.