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Finding the Third Proportional to 463,617 and 1,015,821

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Solution

The third proportional to 463,617 and 1,015,821 is: 2,225,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,617 : 1,015,821 = 1,015,821 : x
  2. Step 2: Convert to fraction form
    463,617/1,015,821 = 1,015,821/x
  3. Step 3: Cross multiply
    463,617x = 1,015,821 × 1,015,821
  4. Step 4: Simplify right side
    463,617x = 1,031,892,304,041
  5. Step 5: Solve for x
    x = 1,031,892,304,041/463,617
  6. Step 6: Final answer
    x = 2,225,743.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.