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Finding the Third Proportional to 711,397 and 1,085,163

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Solution

The third proportional to 711,397 and 1,085,163 is: 1,655,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,397 : 1,085,163 = 1,085,163 : x
  2. Step 2: Convert to fraction form
    711,397/1,085,163 = 1,085,163/x
  3. Step 3: Cross multiply
    711,397x = 1,085,163 × 1,085,163
  4. Step 4: Simplify right side
    711,397x = 1,177,578,736,569
  5. Step 5: Solve for x
    x = 1,177,578,736,569/711,397
  6. Step 6: Final answer
    x = 1,655,304.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.