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Finding the Third Proportional to 592,540.31 and 1,397,903.06

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Solution

The third proportional to 592,540.31 and 1,397,903.06 is: 3,297,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,540.31 : 1,397,903.06 = 1,397,903.06 : x
  2. Step 2: Convert to fraction form
    592,540.31/1,397,903.06 = 1,397,903.06/x
  3. Step 3: Cross multiply
    592,540.31x = 1,397,903.06 × 1,397,903.06
  4. Step 4: Simplify right side
    592,540.31x = 1,954,132,972,146.88
  5. Step 5: Solve for x
    x = 1,954,132,972,146.88/592,540.31
  6. Step 6: Final answer
    x = 3,297,890.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.