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Finding the Third Proportional to 824,098 and 1,711,357

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Solution

The third proportional to 824,098 and 1,711,357 is: 3,553,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,098 : 1,711,357 = 1,711,357 : x
  2. Step 2: Convert to fraction form
    824,098/1,711,357 = 1,711,357/x
  3. Step 3: Cross multiply
    824,098x = 1,711,357 × 1,711,357
  4. Step 4: Simplify right side
    824,098x = 2,928,742,781,449
  5. Step 5: Solve for x
    x = 2,928,742,781,449/824,098
  6. Step 6: Final answer
    x = 3,553,876.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.