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Finding the Third Proportional to 1,679,414 and 3,598,422

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Solution

The third proportional to 1,679,414 and 3,598,422 is: 7,710,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679,414 : 3,598,422 = 3,598,422 : x
  2. Step 2: Convert to fraction form
    1,679,414/3,598,422 = 3,598,422/x
  3. Step 3: Cross multiply
    1,679,414x = 3,598,422 × 3,598,422
  4. Step 4: Simplify right side
    1,679,414x = 12,948,640,890,084
  5. Step 5: Solve for x
    x = 12,948,640,890,084/1,679,414
  6. Step 6: Final answer
    x = 7,710,213.74

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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.