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Finding the Third Proportional to 410,628,760 and 855,223,736

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Solution

The third proportional to 410,628,760 and 855,223,736 is: 1,781,189,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628,760 : 855,223,736 = 855,223,736 : x
  2. Step 2: Convert to fraction form
    410,628,760/855,223,736 = 855,223,736/x
  3. Step 3: Cross multiply
    410,628,760x = 855,223,736 × 855,223,736
  4. Step 4: Simplify right side
    410,628,760x = 731,407,638,617,797,632
  5. Step 5: Solve for x
    x = 731,407,638,617,797,632/410,628,760
  6. Step 6: Final answer
    x = 1,781,189,507.08

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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.