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Finding the Third Proportional to 1,261,158 and 2,767,584

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Solution

The third proportional to 1,261,158 and 2,767,584 is: 6,073,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,158 : 2,767,584 = 2,767,584 : x
  2. Step 2: Convert to fraction form
    1,261,158/2,767,584 = 2,767,584/x
  3. Step 3: Cross multiply
    1,261,158x = 2,767,584 × 2,767,584
  4. Step 4: Simplify right side
    1,261,158x = 7,659,521,197,056
  5. Step 5: Solve for x
    x = 7,659,521,197,056/1,261,158
  6. Step 6: Final answer
    x = 6,073,403.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.