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Finding the Third Proportional to 715,878 and 1,001,375

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Solution

The third proportional to 715,878 and 1,001,375 is: 1,400,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,878 : 1,001,375 = 1,001,375 : x
  2. Step 2: Convert to fraction form
    715,878/1,001,375 = 1,001,375/x
  3. Step 3: Cross multiply
    715,878x = 1,001,375 × 1,001,375
  4. Step 4: Simplify right side
    715,878x = 1,002,751,890,625
  5. Step 5: Solve for x
    x = 1,002,751,890,625/715,878
  6. Step 6: Final answer
    x = 1,400,730.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.