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Finding the Third Proportional to 751,783 and 1,234,167

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Solution

The third proportional to 751,783 and 1,234,167 is: 2,026,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,783 : 1,234,167 = 1,234,167 : x
  2. Step 2: Convert to fraction form
    751,783/1,234,167 = 1,234,167/x
  3. Step 3: Cross multiply
    751,783x = 1,234,167 × 1,234,167
  4. Step 4: Simplify right side
    751,783x = 1,523,168,183,889
  5. Step 5: Solve for x
    x = 1,523,168,183,889/751,783
  6. Step 6: Final answer
    x = 2,026,074.26

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.