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Finding the Third Proportional to 815,870 and 1,767,308

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Solution

The third proportional to 815,870 and 1,767,308 is: 3,828,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,870 : 1,767,308 = 1,767,308 : x
  2. Step 2: Convert to fraction form
    815,870/1,767,308 = 1,767,308/x
  3. Step 3: Cross multiply
    815,870x = 1,767,308 × 1,767,308
  4. Step 4: Simplify right side
    815,870x = 3,123,377,566,864
  5. Step 5: Solve for x
    x = 3,123,377,566,864/815,870
  6. Step 6: Final answer
    x = 3,828,278.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.