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Finding the Third Proportional to 751,692 and 1,582,080

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Solution

The third proportional to 751,692 and 1,582,080 is: 3,329,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,692 : 1,582,080 = 1,582,080 : x
  2. Step 2: Convert to fraction form
    751,692/1,582,080 = 1,582,080/x
  3. Step 3: Cross multiply
    751,692x = 1,582,080 × 1,582,080
  4. Step 4: Simplify right side
    751,692x = 2,502,977,126,400
  5. Step 5: Solve for x
    x = 2,502,977,126,400/751,692
  6. Step 6: Final answer
    x = 3,329,790.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.