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Finding the Third Proportional to 618,898 and 835,034

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Solution

The third proportional to 618,898 and 835,034 is: 1,126,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,898 : 835,034 = 835,034 : x
  2. Step 2: Convert to fraction form
    618,898/835,034 = 835,034/x
  3. Step 3: Cross multiply
    618,898x = 835,034 × 835,034
  4. Step 4: Simplify right side
    618,898x = 697,281,781,156
  5. Step 5: Solve for x
    x = 697,281,781,156/618,898
  6. Step 6: Final answer
    x = 1,126,650.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.