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Finding the Third Proportional to 1,197,306.56 and 1,808,406

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Solution

The third proportional to 1,197,306.56 and 1,808,406 is: 2,731,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,306.56 : 1,808,406 = 1,808,406 : x
  2. Step 2: Convert to fraction form
    1,197,306.56/1,808,406 = 1,808,406/x
  3. Step 3: Cross multiply
    1,197,306.56x = 1,808,406 × 1,808,406
  4. Step 4: Simplify right side
    1,197,306.56x = 3,270,332,260,836
  5. Step 5: Solve for x
    x = 3,270,332,260,836/1,197,306.56
  6. Step 6: Final answer
    x = 2,731,407.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.