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Finding the Third Proportional to 891,068 and 1,462,821

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Solution

The third proportional to 891,068 and 1,462,821 is: 2,401,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,068 : 1,462,821 = 1,462,821 : x
  2. Step 2: Convert to fraction form
    891,068/1,462,821 = 1,462,821/x
  3. Step 3: Cross multiply
    891,068x = 1,462,821 × 1,462,821
  4. Step 4: Simplify right side
    891,068x = 2,139,845,278,041
  5. Step 5: Solve for x
    x = 2,139,845,278,041/891,068
  6. Step 6: Final answer
    x = 2,401,438.81

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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.