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Finding the Third Proportional to 648,754.88 and 982,820.25

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Solution

The third proportional to 648,754.88 and 982,820.25 is: 1,488,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,754.88 : 982,820.25 = 982,820.25 : x
  2. Step 2: Convert to fraction form
    648,754.88/982,820.25 = 982,820.25/x
  3. Step 3: Cross multiply
    648,754.88x = 982,820.25 × 982,820.25
  4. Step 4: Simplify right side
    648,754.88x = 965,935,643,810.06
  5. Step 5: Solve for x
    x = 965,935,643,810.06/648,754.88
  6. Step 6: Final answer
    x = 1,488,906.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.