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Finding the Third Proportional to 735,132 and 1,582,900

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Solution

The third proportional to 735,132 and 1,582,900 is: 3,408,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,132 : 1,582,900 = 1,582,900 : x
  2. Step 2: Convert to fraction form
    735,132/1,582,900 = 1,582,900/x
  3. Step 3: Cross multiply
    735,132x = 1,582,900 × 1,582,900
  4. Step 4: Simplify right side
    735,132x = 2,505,572,410,000
  5. Step 5: Solve for x
    x = 2,505,572,410,000/735,132
  6. Step 6: Final answer
    x = 3,408,329.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.