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Finding the Third Proportional to 665,157 and 1,459,077

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Solution

The third proportional to 665,157 and 1,459,077 is: 3,200,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,157 : 1,459,077 = 1,459,077 : x
  2. Step 2: Convert to fraction form
    665,157/1,459,077 = 1,459,077/x
  3. Step 3: Cross multiply
    665,157x = 1,459,077 × 1,459,077
  4. Step 4: Simplify right side
    665,157x = 2,128,905,691,929
  5. Step 5: Solve for x
    x = 2,128,905,691,929/665,157
  6. Step 6: Final answer
    x = 3,200,606.31

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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.