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Finding the Third Proportional to 1,578,132 and 2,233,026

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Solution

The third proportional to 1,578,132 and 2,233,026 is: 3,159,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,132 : 2,233,026 = 2,233,026 : x
  2. Step 2: Convert to fraction form
    1,578,132/2,233,026 = 2,233,026/x
  3. Step 3: Cross multiply
    1,578,132x = 2,233,026 × 2,233,026
  4. Step 4: Simplify right side
    1,578,132x = 4,986,405,116,676
  5. Step 5: Solve for x
    x = 4,986,405,116,676/1,578,132
  6. Step 6: Final answer
    x = 3,159,688.24

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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.