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Finding the Third Proportional to 925,822 and 1,442,868

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Solution

The third proportional to 925,822 and 1,442,868 is: 2,248,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,822 : 1,442,868 = 1,442,868 : x
  2. Step 2: Convert to fraction form
    925,822/1,442,868 = 1,442,868/x
  3. Step 3: Cross multiply
    925,822x = 1,442,868 × 1,442,868
  4. Step 4: Simplify right side
    925,822x = 2,081,868,065,424
  5. Step 5: Solve for x
    x = 2,081,868,065,424/925,822
  6. Step 6: Final answer
    x = 2,248,669.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.