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Finding the Third Proportional to 815,984 and 1,147,048

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Solution

The third proportional to 815,984 and 1,147,048 is: 1,612,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,984 : 1,147,048 = 1,147,048 : x
  2. Step 2: Convert to fraction form
    815,984/1,147,048 = 1,147,048/x
  3. Step 3: Cross multiply
    815,984x = 1,147,048 × 1,147,048
  4. Step 4: Simplify right side
    815,984x = 1,315,719,114,304
  5. Step 5: Solve for x
    x = 1,315,719,114,304/815,984
  6. Step 6: Final answer
    x = 1,612,432.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.