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Finding the Third Proportional to 665,150 and 1,014,331

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Solution

The third proportional to 665,150 and 1,014,331 is: 1,546,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,150 : 1,014,331 = 1,014,331 : x
  2. Step 2: Convert to fraction form
    665,150/1,014,331 = 1,014,331/x
  3. Step 3: Cross multiply
    665,150x = 1,014,331 × 1,014,331
  4. Step 4: Simplify right side
    665,150x = 1,028,867,377,561
  5. Step 5: Solve for x
    x = 1,028,867,377,561/665,150
  6. Step 6: Final answer
    x = 1,546,820.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.