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Finding the Third Proportional to 856,544 and 1,844,640

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Solution

The third proportional to 856,544 and 1,844,640 is: 3,972,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,544 : 1,844,640 = 1,844,640 : x
  2. Step 2: Convert to fraction form
    856,544/1,844,640 = 1,844,640/x
  3. Step 3: Cross multiply
    856,544x = 1,844,640 × 1,844,640
  4. Step 4: Simplify right side
    856,544x = 3,402,696,729,600
  5. Step 5: Solve for x
    x = 3,402,696,729,600/856,544
  6. Step 6: Final answer
    x = 3,972,588.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.