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Finding the Third Proportional to 461,407 and 988,425

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Solution

The third proportional to 461,407 and 988,425 is: 2,117,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,407 : 988,425 = 988,425 : x
  2. Step 2: Convert to fraction form
    461,407/988,425 = 988,425/x
  3. Step 3: Cross multiply
    461,407x = 988,425 × 988,425
  4. Step 4: Simplify right side
    461,407x = 976,983,980,625
  5. Step 5: Solve for x
    x = 976,983,980,625/461,407
  6. Step 6: Final answer
    x = 2,117,401.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.