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Finding the Third Proportional to 969,918.75 and 2,107,719

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Solution

The third proportional to 969,918.75 and 2,107,719 is: 4,580,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,918.75 : 2,107,719 = 2,107,719 : x
  2. Step 2: Convert to fraction form
    969,918.75/2,107,719 = 2,107,719/x
  3. Step 3: Cross multiply
    969,918.75x = 2,107,719 × 2,107,719
  4. Step 4: Simplify right side
    969,918.75x = 4,442,479,382,961
  5. Step 5: Solve for x
    x = 4,442,479,382,961/969,918.75
  6. Step 6: Final answer
    x = 4,580,259.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.