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Finding the Third Proportional to 1,306,857 and 2,813,952

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Solution

The third proportional to 1,306,857 and 2,813,952 is: 6,059,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,857 : 2,813,952 = 2,813,952 : x
  2. Step 2: Convert to fraction form
    1,306,857/2,813,952 = 2,813,952/x
  3. Step 3: Cross multiply
    1,306,857x = 2,813,952 × 2,813,952
  4. Step 4: Simplify right side
    1,306,857x = 7,918,325,858,304
  5. Step 5: Solve for x
    x = 7,918,325,858,304/1,306,857
  6. Step 6: Final answer
    x = 6,059,060.68

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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.