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Finding the Third Proportional to 1,098,920 and 2,282,026

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Solution

The third proportional to 1,098,920 and 2,282,026 is: 4,738,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,920 : 2,282,026 = 2,282,026 : x
  2. Step 2: Convert to fraction form
    1,098,920/2,282,026 = 2,282,026/x
  3. Step 3: Cross multiply
    1,098,920x = 2,282,026 × 2,282,026
  4. Step 4: Simplify right side
    1,098,920x = 5,207,642,664,676
  5. Step 5: Solve for x
    x = 5,207,642,664,676/1,098,920
  6. Step 6: Final answer
    x = 4,738,873.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.