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Finding the Third Proportional to 665,178 and 1,459,110

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Solution

The third proportional to 665,178 and 1,459,110 is: 3,200,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,178 : 1,459,110 = 1,459,110 : x
  2. Step 2: Convert to fraction form
    665,178/1,459,110 = 1,459,110/x
  3. Step 3: Cross multiply
    665,178x = 1,459,110 × 1,459,110
  4. Step 4: Simplify right side
    665,178x = 2,129,001,992,100
  5. Step 5: Solve for x
    x = 2,129,001,992,100/665,178
  6. Step 6: Final answer
    x = 3,200,650.04

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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.