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Finding the Third Proportional to 814,770 and 1,197,182

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Solution

The third proportional to 814,770 and 1,197,182 is: 1,759,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,770 : 1,197,182 = 1,197,182 : x
  2. Step 2: Convert to fraction form
    814,770/1,197,182 = 1,197,182/x
  3. Step 3: Cross multiply
    814,770x = 1,197,182 × 1,197,182
  4. Step 4: Simplify right side
    814,770x = 1,433,244,741,124
  5. Step 5: Solve for x
    x = 1,433,244,741,124/814,770
  6. Step 6: Final answer
    x = 1,759,078.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.