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Finding the Third Proportional to 401,120 and 880,962

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Solution

The third proportional to 401,120 and 880,962 is: 1,934,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,120 : 880,962 = 880,962 : x
  2. Step 2: Convert to fraction form
    401,120/880,962 = 880,962/x
  3. Step 3: Cross multiply
    401,120x = 880,962 × 880,962
  4. Step 4: Simplify right side
    401,120x = 776,094,045,444
  5. Step 5: Solve for x
    x = 776,094,045,444/401,120
  6. Step 6: Final answer
    x = 1,934,817.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.