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Finding the Third Proportional to 739,729.97 and 1,114,481.53

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Solution

The third proportional to 739,729.97 and 1,114,481.53 is: 1,679,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,729.97 : 1,114,481.53 = 1,114,481.53 : x
  2. Step 2: Convert to fraction form
    739,729.97/1,114,481.53 = 1,114,481.53/x
  3. Step 3: Cross multiply
    739,729.97x = 1,114,481.53 × 1,114,481.53
  4. Step 4: Simplify right side
    739,729.97x = 1,242,069,083,497.34
  5. Step 5: Solve for x
    x = 1,242,069,083,497.34/739,729.97
  6. Step 6: Final answer
    x = 1,679,084.44

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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.