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Finding the Third Proportional to 467,848 and 1,015,184

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Solution

The third proportional to 467,848 and 1,015,184 is: 2,202,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,848 : 1,015,184 = 1,015,184 : x
  2. Step 2: Convert to fraction form
    467,848/1,015,184 = 1,015,184/x
  3. Step 3: Cross multiply
    467,848x = 1,015,184 × 1,015,184
  4. Step 4: Simplify right side
    467,848x = 1,030,598,553,856
  5. Step 5: Solve for x
    x = 1,030,598,553,856/467,848
  6. Step 6: Final answer
    x = 2,202,849.12

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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.