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Finding the Third Proportional to 1,023,774 and 2,204,526

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Solution

The third proportional to 1,023,774 and 2,204,526 is: 4,747,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,774 : 2,204,526 = 2,204,526 : x
  2. Step 2: Convert to fraction form
    1,023,774/2,204,526 = 2,204,526/x
  3. Step 3: Cross multiply
    1,023,774x = 2,204,526 × 2,204,526
  4. Step 4: Simplify right side
    1,023,774x = 4,859,934,884,676
  5. Step 5: Solve for x
    x = 4,859,934,884,676/1,023,774
  6. Step 6: Final answer
    x = 4,747,077.86

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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.