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Finding the Third Proportional to 460,561,632 and 658,608,204

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Solution

The third proportional to 460,561,632 and 658,608,204 is: 941,816,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,561,632 : 658,608,204 = 658,608,204 : x
  2. Step 2: Convert to fraction form
    460,561,632/658,608,204 = 658,608,204/x
  3. Step 3: Cross multiply
    460,561,632x = 658,608,204 × 658,608,204
  4. Step 4: Simplify right side
    460,561,632x = 433,764,766,376,105,600
  5. Step 5: Solve for x
    x = 433,764,766,376,105,600/460,561,632
  6. Step 6: Final answer
    x = 941,816,982.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.