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Finding the Third Proportional to 735,180.75 and 1,592,498.25

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Solution

The third proportional to 735,180.75 and 1,592,498.25 is: 3,449,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,180.75 : 1,592,498.25 = 1,592,498.25 : x
  2. Step 2: Convert to fraction form
    735,180.75/1,592,498.25 = 1,592,498.25/x
  3. Step 3: Cross multiply
    735,180.75x = 1,592,498.25 × 1,592,498.25
  4. Step 4: Simplify right side
    735,180.75x = 2,536,050,676,253.06
  5. Step 5: Solve for x
    x = 2,536,050,676,253.06/735,180.75
  6. Step 6: Final answer
    x = 3,449,560.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.