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Finding the Third Proportional to 711,507.09 and 1,092,961.97

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Solution

The third proportional to 711,507.09 and 1,092,961.97 is: 1,678,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,507.09 : 1,092,961.97 = 1,092,961.97 : x
  2. Step 2: Convert to fraction form
    711,507.09/1,092,961.97 = 1,092,961.97/x
  3. Step 3: Cross multiply
    711,507.09x = 1,092,961.97 × 1,092,961.97
  4. Step 4: Simplify right side
    711,507.09x = 1,194,565,865,133.88
  5. Step 5: Solve for x
    x = 1,194,565,865,133.88/711,507.09
  6. Step 6: Final answer
    x = 1,678,923.34

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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.