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Finding the Third Proportional to 463,934 and 988,636

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Solution

The third proportional to 463,934 and 988,636 is: 2,106,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,934 : 988,636 = 988,636 : x
  2. Step 2: Convert to fraction form
    463,934/988,636 = 988,636/x
  3. Step 3: Cross multiply
    463,934x = 988,636 × 988,636
  4. Step 4: Simplify right side
    463,934x = 977,401,140,496
  5. Step 5: Solve for x
    x = 977,401,140,496/463,934
  6. Step 6: Final answer
    x = 2,106,767.64

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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.