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Finding the Third Proportional to 894,184 and 1,344,941

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Solution

The third proportional to 894,184 and 1,344,941 is: 2,022,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,184 : 1,344,941 = 1,344,941 : x
  2. Step 2: Convert to fraction form
    894,184/1,344,941 = 1,344,941/x
  3. Step 3: Cross multiply
    894,184x = 1,344,941 × 1,344,941
  4. Step 4: Simplify right side
    894,184x = 1,808,866,293,481
  5. Step 5: Solve for x
    x = 1,808,866,293,481/894,184
  6. Step 6: Final answer
    x = 2,022,924.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.