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Finding the Third Proportional to 1,306,948 and 2,846,422

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Solution

The third proportional to 1,306,948 and 2,846,422 is: 6,199,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,948 : 2,846,422 = 2,846,422 : x
  2. Step 2: Convert to fraction form
    1,306,948/2,846,422 = 2,846,422/x
  3. Step 3: Cross multiply
    1,306,948x = 2,846,422 × 2,846,422
  4. Step 4: Simplify right side
    1,306,948x = 8,102,118,202,084
  5. Step 5: Solve for x
    x = 8,102,118,202,084/1,306,948
  6. Step 6: Final answer
    x = 6,199,265.92

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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.