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Finding the Third Proportional to 2,501,640 and 4,878,864

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Solution

The third proportional to 2,501,640 and 4,878,864 is: 9,515,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501,640 : 4,878,864 = 4,878,864 : x
  2. Step 2: Convert to fraction form
    2,501,640/4,878,864 = 4,878,864/x
  3. Step 3: Cross multiply
    2,501,640x = 4,878,864 × 4,878,864
  4. Step 4: Simplify right side
    2,501,640x = 23,803,313,930,496
  5. Step 5: Solve for x
    x = 23,803,313,930,496/2,501,640
  6. Step 6: Final answer
    x = 9,515,083.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.