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Finding the Third Proportional to 711,204 and 1,098,235

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Solution

The third proportional to 711,204 and 1,098,235 is: 1,695,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,204 : 1,098,235 = 1,098,235 : x
  2. Step 2: Convert to fraction form
    711,204/1,098,235 = 1,098,235/x
  3. Step 3: Cross multiply
    711,204x = 1,098,235 × 1,098,235
  4. Step 4: Simplify right side
    711,204x = 1,206,120,115,225
  5. Step 5: Solve for x
    x = 1,206,120,115,225/711,204
  6. Step 6: Final answer
    x = 1,695,884.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.