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Finding the Third Proportional to 1,087,164 and 2,305,872

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Solution

The third proportional to 1,087,164 and 2,305,872 is: 4,890,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,164 : 2,305,872 = 2,305,872 : x
  2. Step 2: Convert to fraction form
    1,087,164/2,305,872 = 2,305,872/x
  3. Step 3: Cross multiply
    1,087,164x = 2,305,872 × 2,305,872
  4. Step 4: Simplify right side
    1,087,164x = 5,317,045,680,384
  5. Step 5: Solve for x
    x = 5,317,045,680,384/1,087,164
  6. Step 6: Final answer
    x = 4,890,748.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.