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Finding the Third Proportional to 410,628,764 and 855,223,744

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Solution

The third proportional to 410,628,764 and 855,223,744 is: 1,781,189,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628,764 : 855,223,744 = 855,223,744 : x
  2. Step 2: Convert to fraction form
    410,628,764/855,223,744 = 855,223,744/x
  3. Step 3: Cross multiply
    410,628,764x = 855,223,744 × 855,223,744
  4. Step 4: Simplify right side
    410,628,764x = 731,407,652,301,377,536
  5. Step 5: Solve for x
    x = 731,407,652,301,377,536/410,628,764
  6. Step 6: Final answer
    x = 1,781,189,523.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.