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Finding the Third Proportional to 840,372 and 1,844,024

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Solution

The third proportional to 840,372 and 1,844,024 is: 4,046,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,372 : 1,844,024 = 1,844,024 : x
  2. Step 2: Convert to fraction form
    840,372/1,844,024 = 1,844,024/x
  3. Step 3: Cross multiply
    840,372x = 1,844,024 × 1,844,024
  4. Step 4: Simplify right side
    840,372x = 3,400,424,512,576
  5. Step 5: Solve for x
    x = 3,400,424,512,576/840,372
  6. Step 6: Final answer
    x = 4,046,332.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.