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Finding the Third Proportional to 1,387,200 and 2,981,328

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Solution

The third proportional to 1,387,200 and 2,981,328 is: 6,407,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,200 : 2,981,328 = 2,981,328 : x
  2. Step 2: Convert to fraction form
    1,387,200/2,981,328 = 2,981,328/x
  3. Step 3: Cross multiply
    1,387,200x = 2,981,328 × 2,981,328
  4. Step 4: Simplify right side
    1,387,200x = 8,888,316,643,584
  5. Step 5: Solve for x
    x = 8,888,316,643,584/1,387,200
  6. Step 6: Final answer
    x = 6,407,379.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.