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Finding the Third Proportional to 401,114 and 880,960

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Solution

The third proportional to 401,114 and 880,960 is: 1,934,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,114 : 880,960 = 880,960 : x
  2. Step 2: Convert to fraction form
    401,114/880,960 = 880,960/x
  3. Step 3: Cross multiply
    401,114x = 880,960 × 880,960
  4. Step 4: Simplify right side
    401,114x = 776,090,521,600
  5. Step 5: Solve for x
    x = 776,090,521,600/401,114
  6. Step 6: Final answer
    x = 1,934,837.78

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