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Finding the Third Proportional to 665,211 and 1,459,190

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Solution

The third proportional to 665,211 and 1,459,190 is: 3,200,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,211 : 1,459,190 = 1,459,190 : x
  2. Step 2: Convert to fraction form
    665,211/1,459,190 = 1,459,190/x
  3. Step 3: Cross multiply
    665,211x = 1,459,190 × 1,459,190
  4. Step 4: Simplify right side
    665,211x = 2,129,235,456,100
  5. Step 5: Solve for x
    x = 2,129,235,456,100/665,211
  6. Step 6: Final answer
    x = 3,200,842.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.