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Finding the Third Proportional to 650,820,198 and 991,457,328

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Solution

The third proportional to 650,820,198 and 991,457,328 is: 1,510,382,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,820,198 : 991,457,328 = 991,457,328 : x
  2. Step 2: Convert to fraction form
    650,820,198/991,457,328 = 991,457,328/x
  3. Step 3: Cross multiply
    650,820,198x = 991,457,328 × 991,457,328
  4. Step 4: Simplify right side
    650,820,198x = 982,987,633,244,899,584
  5. Step 5: Solve for x
    x = 982,987,633,244,899,584/650,820,198
  6. Step 6: Final answer
    x = 1,510,382,800.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.