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Finding the Third Proportional to 665,194 and 1,459,159

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Solution

The third proportional to 665,194 and 1,459,159 is: 3,200,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,194 : 1,459,159 = 1,459,159 : x
  2. Step 2: Convert to fraction form
    665,194/1,459,159 = 1,459,159/x
  3. Step 3: Cross multiply
    665,194x = 1,459,159 × 1,459,159
  4. Step 4: Simplify right side
    665,194x = 2,129,144,987,281
  5. Step 5: Solve for x
    x = 2,129,144,987,281/665,194
  6. Step 6: Final answer
    x = 3,200,788.02

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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.