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Finding the Third Proportional to 463,649 and 988,537

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Solution

The third proportional to 463,649 and 988,537 is: 2,107,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,649 : 988,537 = 988,537 : x
  2. Step 2: Convert to fraction form
    463,649/988,537 = 988,537/x
  3. Step 3: Cross multiply
    463,649x = 988,537 × 988,537
  4. Step 4: Simplify right side
    463,649x = 977,205,400,369
  5. Step 5: Solve for x
    x = 977,205,400,369/463,649
  6. Step 6: Final answer
    x = 2,107,640.48

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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.