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Finding the Third Proportional to 1,458,917 and 3,142,548

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Solution

The third proportional to 1,458,917 and 3,142,548 is: 6,769,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,917 : 3,142,548 = 3,142,548 : x
  2. Step 2: Convert to fraction form
    1,458,917/3,142,548 = 3,142,548/x
  3. Step 3: Cross multiply
    1,458,917x = 3,142,548 × 3,142,548
  4. Step 4: Simplify right side
    1,458,917x = 9,875,607,932,304
  5. Step 5: Solve for x
    x = 9,875,607,932,304/1,458,917
  6. Step 6: Final answer
    x = 6,769,136.24

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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.