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Finding the Third Proportional to 1,082,472 and 1,538,580

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Solution

The third proportional to 1,082,472 and 1,538,580 is: 2,186,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,472 : 1,538,580 = 1,538,580 : x
  2. Step 2: Convert to fraction form
    1,082,472/1,538,580 = 1,538,580/x
  3. Step 3: Cross multiply
    1,082,472x = 1,538,580 × 1,538,580
  4. Step 4: Simplify right side
    1,082,472x = 2,367,228,416,400
  5. Step 5: Solve for x
    x = 2,367,228,416,400/1,082,472
  6. Step 6: Final answer
    x = 2,186,872.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.