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Finding the Third Proportional to 1,046,414 and 2,260,084

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Solution

The third proportional to 1,046,414 and 2,260,084 is: 4,881,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,414 : 2,260,084 = 2,260,084 : x
  2. Step 2: Convert to fraction form
    1,046,414/2,260,084 = 2,260,084/x
  3. Step 3: Cross multiply
    1,046,414x = 2,260,084 × 2,260,084
  4. Step 4: Simplify right side
    1,046,414x = 5,107,979,687,056
  5. Step 5: Solve for x
    x = 5,107,979,687,056/1,046,414
  6. Step 6: Final answer
    x = 4,881,413.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.