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Finding the Third Proportional to 2,959,272 and 6,454,719

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Solution

The third proportional to 2,959,272 and 6,454,719 is: 14,078,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,272 : 6,454,719 = 6,454,719 : x
  2. Step 2: Convert to fraction form
    2,959,272/6,454,719 = 6,454,719/x
  3. Step 3: Cross multiply
    2,959,272x = 6,454,719 × 6,454,719
  4. Step 4: Simplify right side
    2,959,272x = 41,663,397,368,961
  5. Step 5: Solve for x
    x = 41,663,397,368,961/2,959,272
  6. Step 6: Final answer
    x = 14,078,934.74

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