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Finding the Third Proportional to 463,651 and 988,541

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Solution

The third proportional to 463,651 and 988,541 is: 2,107,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,651 : 988,541 = 988,541 : x
  2. Step 2: Convert to fraction form
    463,651/988,541 = 988,541/x
  3. Step 3: Cross multiply
    463,651x = 988,541 × 988,541
  4. Step 4: Simplify right side
    463,651x = 977,213,308,681
  5. Step 5: Solve for x
    x = 977,213,308,681/463,651
  6. Step 6: Final answer
    x = 2,107,648.44

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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.