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Finding the Third Proportional to 844,688 and 1,821,406

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Solution

The third proportional to 844,688 and 1,821,406 is: 3,927,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,688 : 1,821,406 = 1,821,406 : x
  2. Step 2: Convert to fraction form
    844,688/1,821,406 = 1,821,406/x
  3. Step 3: Cross multiply
    844,688x = 1,821,406 × 1,821,406
  4. Step 4: Simplify right side
    844,688x = 3,317,519,816,836
  5. Step 5: Solve for x
    x = 3,317,519,816,836/844,688
  6. Step 6: Final answer
    x = 3,927,509.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.