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Finding the Third Proportional to 869,971 and 1,844,390

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Solution

The third proportional to 869,971 and 1,844,390 is: 3,910,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,971 : 1,844,390 = 1,844,390 : x
  2. Step 2: Convert to fraction form
    869,971/1,844,390 = 1,844,390/x
  3. Step 3: Cross multiply
    869,971x = 1,844,390 × 1,844,390
  4. Step 4: Simplify right side
    869,971x = 3,401,774,472,100
  5. Step 5: Solve for x
    x = 3,401,774,472,100/869,971
  6. Step 6: Final answer
    x = 3,910,215.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.