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Finding the Third Proportional to 781,083 and 1,711,974

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Solution

The third proportional to 781,083 and 1,711,974 is: 3,752,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,083 : 1,711,974 = 1,711,974 : x
  2. Step 2: Convert to fraction form
    781,083/1,711,974 = 1,711,974/x
  3. Step 3: Cross multiply
    781,083x = 1,711,974 × 1,711,974
  4. Step 4: Simplify right side
    781,083x = 2,930,854,976,676
  5. Step 5: Solve for x
    x = 2,930,854,976,676/781,083
  6. Step 6: Final answer
    x = 3,752,296.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.