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Finding the Third Proportional to 463,647 and 988,533

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Solution

The third proportional to 463,647 and 988,533 is: 2,107,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,647 : 988,533 = 988,533 : x
  2. Step 2: Convert to fraction form
    463,647/988,533 = 988,533/x
  3. Step 3: Cross multiply
    463,647x = 988,533 × 988,533
  4. Step 4: Simplify right side
    463,647x = 977,197,492,089
  5. Step 5: Solve for x
    x = 977,197,492,089/463,647
  6. Step 6: Final answer
    x = 2,107,632.51

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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.