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Finding the Third Proportional to 463,668 and 988,578

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Solution

The third proportional to 463,668 and 988,578 is: 2,107,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,668 : 988,578 = 988,578 : x
  2. Step 2: Convert to fraction form
    463,668/988,578 = 988,578/x
  3. Step 3: Cross multiply
    463,668x = 988,578 × 988,578
  4. Step 4: Simplify right side
    463,668x = 977,286,462,084
  5. Step 5: Solve for x
    x = 977,286,462,084/463,668
  6. Step 6: Final answer
    x = 2,107,728.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.