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Finding the Third Proportional to 407,997 and 891,627.75

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Solution

The third proportional to 407,997 and 891,627.75 is: 1,948,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997 : 891,627.75 = 891,627.75 : x
  2. Step 2: Convert to fraction form
    407,997/891,627.75 = 891,627.75/x
  3. Step 3: Cross multiply
    407,997x = 891,627.75 × 891,627.75
  4. Step 4: Simplify right side
    407,997x = 795,000,044,570.06
  5. Step 5: Solve for x
    x = 795,000,044,570.06/407,997
  6. Step 6: Final answer
    x = 1,948,543.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.