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Finding the Third Proportional to 1,012,916 and 2,161,424

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Solution

The third proportional to 1,012,916 and 2,161,424 is: 4,612,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,916 : 2,161,424 = 2,161,424 : x
  2. Step 2: Convert to fraction form
    1,012,916/2,161,424 = 2,161,424/x
  3. Step 3: Cross multiply
    1,012,916x = 2,161,424 × 2,161,424
  4. Step 4: Simplify right side
    1,012,916x = 4,671,753,707,776
  5. Step 5: Solve for x
    x = 4,671,753,707,776/1,012,916
  6. Step 6: Final answer
    x = 4,612,182.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.