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Finding the Third Proportional to 701,847 and 977,882

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Solution

The third proportional to 701,847 and 977,882 is: 1,362,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,847 : 977,882 = 977,882 : x
  2. Step 2: Convert to fraction form
    701,847/977,882 = 977,882/x
  3. Step 3: Cross multiply
    701,847x = 977,882 × 977,882
  4. Step 4: Simplify right side
    701,847x = 956,253,205,924
  5. Step 5: Solve for x
    x = 956,253,205,924/701,847
  6. Step 6: Final answer
    x = 1,362,481.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.