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Finding the Third Proportional to 1,165,385 and 2,562,035

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Solution

The third proportional to 1,165,385 and 2,562,035 is: 5,632,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,385 : 2,562,035 = 2,562,035 : x
  2. Step 2: Convert to fraction form
    1,165,385/2,562,035 = 2,562,035/x
  3. Step 3: Cross multiply
    1,165,385x = 2,562,035 × 2,562,035
  4. Step 4: Simplify right side
    1,165,385x = 6,564,023,341,225
  5. Step 5: Solve for x
    x = 6,564,023,341,225/1,165,385
  6. Step 6: Final answer
    x = 5,632,493.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.