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Finding the Third Proportional to 815,196 and 1,197,738

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Solution

The third proportional to 815,196 and 1,197,738 is: 1,759,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,196 : 1,197,738 = 1,197,738 : x
  2. Step 2: Convert to fraction form
    815,196/1,197,738 = 1,197,738/x
  3. Step 3: Cross multiply
    815,196x = 1,197,738 × 1,197,738
  4. Step 4: Simplify right side
    815,196x = 1,434,576,316,644
  5. Step 5: Solve for x
    x = 1,434,576,316,644/815,196
  6. Step 6: Final answer
    x = 1,759,793.13

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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.