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Finding the Third Proportional to 2,241,640 and 4,864,320

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Solution

The third proportional to 2,241,640 and 4,864,320 is: 10,555,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,640 : 4,864,320 = 4,864,320 : x
  2. Step 2: Convert to fraction form
    2,241,640/4,864,320 = 4,864,320/x
  3. Step 3: Cross multiply
    2,241,640x = 4,864,320 × 4,864,320
  4. Step 4: Simplify right side
    2,241,640x = 23,661,609,062,400
  5. Step 5: Solve for x
    x = 23,661,609,062,400/2,241,640
  6. Step 6: Final answer
    x = 10,555,490.20

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