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Finding the Third Proportional to 618,948 and 835,104

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Solution

The third proportional to 618,948 and 835,104 is: 1,126,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,948 : 835,104 = 835,104 : x
  2. Step 2: Convert to fraction form
    618,948/835,104 = 835,104/x
  3. Step 3: Cross multiply
    618,948x = 835,104 × 835,104
  4. Step 4: Simplify right side
    618,948x = 697,398,690,816
  5. Step 5: Solve for x
    x = 697,398,690,816/618,948
  6. Step 6: Final answer
    x = 1,126,748.44

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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.