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Finding the Third Proportional to 856,440 and 1,844,424

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Solution

The third proportional to 856,440 and 1,844,424 is: 3,972,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,440 : 1,844,424 = 1,844,424 : x
  2. Step 2: Convert to fraction form
    856,440/1,844,424 = 1,844,424/x
  3. Step 3: Cross multiply
    856,440x = 1,844,424 × 1,844,424
  4. Step 4: Simplify right side
    856,440x = 3,401,899,891,776
  5. Step 5: Solve for x
    x = 3,401,899,891,776/856,440
  6. Step 6: Final answer
    x = 3,972,140.36

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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.