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Finding the Third Proportional to 735,115 and 1,582,865

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Solution

The third proportional to 735,115 and 1,582,865 is: 3,408,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,115 : 1,582,865 = 1,582,865 : x
  2. Step 2: Convert to fraction form
    735,115/1,582,865 = 1,582,865/x
  3. Step 3: Cross multiply
    735,115x = 1,582,865 × 1,582,865
  4. Step 4: Simplify right side
    735,115x = 2,505,461,608,225
  5. Step 5: Solve for x
    x = 2,505,461,608,225/735,115
  6. Step 6: Final answer
    x = 3,408,258.04

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Why These Related Problems?

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