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Finding the Third Proportional to 781,072 and 1,711,948

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Solution

The third proportional to 781,072 and 1,711,948 is: 3,752,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,072 : 1,711,948 = 1,711,948 : x
  2. Step 2: Convert to fraction form
    781,072/1,711,948 = 1,711,948/x
  3. Step 3: Cross multiply
    781,072x = 1,711,948 × 1,711,948
  4. Step 4: Simplify right side
    781,072x = 2,930,765,954,704
  5. Step 5: Solve for x
    x = 2,930,765,954,704/781,072
  6. Step 6: Final answer
    x = 3,752,235.33

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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.