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Finding the Third Proportional to 589,348,170 and 982,187,754.75

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Solution

The third proportional to 589,348,170 and 982,187,754.75 is: 1,636,880,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,348,170 : 982,187,754.75 = 982,187,754.75 : x
  2. Step 2: Convert to fraction form
    589,348,170/982,187,754.75 = 982,187,754.75/x
  3. Step 3: Cross multiply
    589,348,170x = 982,187,754.75 × 982,187,754.75
  4. Step 4: Simplify right side
    589,348,170x = 964,692,785,580,846,208
  5. Step 5: Solve for x
    x = 964,692,785,580,846,208/589,348,170
  6. Step 6: Final answer
    x = 1,636,880,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.