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Finding the Third Proportional to 984,098.25 and 1,471,023

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Solution

The third proportional to 984,098.25 and 1,471,023 is: 2,198,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,098.25 : 1,471,023 = 1,471,023 : x
  2. Step 2: Convert to fraction form
    984,098.25/1,471,023 = 1,471,023/x
  3. Step 3: Cross multiply
    984,098.25x = 1,471,023 × 1,471,023
  4. Step 4: Simplify right side
    984,098.25x = 2,163,908,666,529
  5. Step 5: Solve for x
    x = 2,163,908,666,529/984,098.25
  6. Step 6: Final answer
    x = 2,198,874.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.