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Finding the Third Proportional to 891,162 and 1,462,941

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Solution

The third proportional to 891,162 and 1,462,941 is: 2,401,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,162 : 1,462,941 = 1,462,941 : x
  2. Step 2: Convert to fraction form
    891,162/1,462,941 = 1,462,941/x
  3. Step 3: Cross multiply
    891,162x = 1,462,941 × 1,462,941
  4. Step 4: Simplify right side
    891,162x = 2,140,196,369,481
  5. Step 5: Solve for x
    x = 2,140,196,369,481/891,162
  6. Step 6: Final answer
    x = 2,401,579.48

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.