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Finding the Third Proportional to 751,740 and 1,577,289

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Solution

The third proportional to 751,740 and 1,577,289 is: 3,309,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,740 : 1,577,289 = 1,577,289 : x
  2. Step 2: Convert to fraction form
    751,740/1,577,289 = 1,577,289/x
  3. Step 3: Cross multiply
    751,740x = 1,577,289 × 1,577,289
  4. Step 4: Simplify right side
    751,740x = 2,487,840,589,521
  5. Step 5: Solve for x
    x = 2,487,840,589,521/751,740
  6. Step 6: Final answer
    x = 3,309,442.88

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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.