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Finding the Third Proportional to 705,876 and 1,065,395.25

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Solution

The third proportional to 705,876 and 1,065,395.25 is: 1,608,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,876 : 1,065,395.25 = 1,065,395.25 : x
  2. Step 2: Convert to fraction form
    705,876/1,065,395.25 = 1,065,395.25/x
  3. Step 3: Cross multiply
    705,876x = 1,065,395.25 × 1,065,395.25
  4. Step 4: Simplify right side
    705,876x = 1,135,067,038,722.56
  5. Step 5: Solve for x
    x = 1,135,067,038,722.56/705,876
  6. Step 6: Final answer
    x = 1,608,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.