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Finding the Third Proportional to 1,027,547 and 2,206,593

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Solution

The third proportional to 1,027,547 and 2,206,593 is: 4,738,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,547 : 2,206,593 = 2,206,593 : x
  2. Step 2: Convert to fraction form
    1,027,547/2,206,593 = 2,206,593/x
  3. Step 3: Cross multiply
    1,027,547x = 2,206,593 × 2,206,593
  4. Step 4: Simplify right side
    1,027,547x = 4,869,052,667,649
  5. Step 5: Solve for x
    x = 4,869,052,667,649/1,027,547
  6. Step 6: Final answer
    x = 4,738,520.64

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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.