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Finding the Third Proportional to 2,221,920 and 4,845,264

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Solution

The third proportional to 2,221,920 and 4,845,264 is: 10,565,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,920 : 4,845,264 = 4,845,264 : x
  2. Step 2: Convert to fraction form
    2,221,920/4,845,264 = 4,845,264/x
  3. Step 3: Cross multiply
    2,221,920x = 4,845,264 × 4,845,264
  4. Step 4: Simplify right side
    2,221,920x = 23,476,583,229,696
  5. Step 5: Solve for x
    x = 23,476,583,229,696/2,221,920
  6. Step 6: Final answer
    x = 10,565,899.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.