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Finding the Third Proportional to 1,280,486 and 2,743,514

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Solution

The third proportional to 1,280,486 and 2,743,514 is: 5,878,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,486 : 2,743,514 = 2,743,514 : x
  2. Step 2: Convert to fraction form
    1,280,486/2,743,514 = 2,743,514/x
  3. Step 3: Cross multiply
    1,280,486x = 2,743,514 × 2,743,514
  4. Step 4: Simplify right side
    1,280,486x = 7,526,869,068,196
  5. Step 5: Solve for x
    x = 7,526,869,068,196/1,280,486
  6. Step 6: Final answer
    x = 5,878,134.61

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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.