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Finding the Third Proportional to 486,692 and 1,040,642

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Solution

The third proportional to 486,692 and 1,040,642 is: 2,225,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,692 : 1,040,642 = 1,040,642 : x
  2. Step 2: Convert to fraction form
    486,692/1,040,642 = 1,040,642/x
  3. Step 3: Cross multiply
    486,692x = 1,040,642 × 1,040,642
  4. Step 4: Simplify right side
    486,692x = 1,082,935,772,164
  5. Step 5: Solve for x
    x = 1,082,935,772,164/486,692
  6. Step 6: Final answer
    x = 2,225,094.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.