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Finding the Third Proportional to 856,448 and 1,844,440

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Solution

The third proportional to 856,448 and 1,844,440 is: 3,972,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,448 : 1,844,440 = 1,844,440 : x
  2. Step 2: Convert to fraction form
    856,448/1,844,440 = 1,844,440/x
  3. Step 3: Cross multiply
    856,448x = 1,844,440 × 1,844,440
  4. Step 4: Simplify right side
    856,448x = 3,401,958,913,600
  5. Step 5: Solve for x
    x = 3,401,958,913,600/856,448
  6. Step 6: Final answer
    x = 3,972,172.17

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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.