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Finding the Third Proportional to 815,840 and 1,767,248

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Solution

The third proportional to 815,840 and 1,767,248 is: 3,828,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,840 : 1,767,248 = 1,767,248 : x
  2. Step 2: Convert to fraction form
    815,840/1,767,248 = 1,767,248/x
  3. Step 3: Cross multiply
    815,840x = 1,767,248 × 1,767,248
  4. Step 4: Simplify right side
    815,840x = 3,123,165,493,504
  5. Step 5: Solve for x
    x = 3,123,165,493,504/815,840
  6. Step 6: Final answer
    x = 3,828,159.31

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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.