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Finding the Third Proportional to 855,216 and 1,846,024

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Solution

The third proportional to 855,216 and 1,846,024 is: 3,984,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,216 : 1,846,024 = 1,846,024 : x
  2. Step 2: Convert to fraction form
    855,216/1,846,024 = 1,846,024/x
  3. Step 3: Cross multiply
    855,216x = 1,846,024 × 1,846,024
  4. Step 4: Simplify right side
    855,216x = 3,407,804,608,576
  5. Step 5: Solve for x
    x = 3,407,804,608,576/855,216
  6. Step 6: Final answer
    x = 3,984,729.72

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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.