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Finding the Third Proportional to 815,876 and 1,767,348

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Solution

The third proportional to 815,876 and 1,767,348 is: 3,828,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,876 : 1,767,348 = 1,767,348 : x
  2. Step 2: Convert to fraction form
    815,876/1,767,348 = 1,767,348/x
  3. Step 3: Cross multiply
    815,876x = 1,767,348 × 1,767,348
  4. Step 4: Simplify right side
    815,876x = 3,123,518,953,104
  5. Step 5: Solve for x
    x = 3,123,518,953,104/815,876
  6. Step 6: Final answer
    x = 3,828,423.62

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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.