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Finding the Third Proportional to 854,640 and 1,846,332

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Solution

The third proportional to 854,640 and 1,846,332 is: 3,988,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,640 : 1,846,332 = 1,846,332 : x
  2. Step 2: Convert to fraction form
    854,640/1,846,332 = 1,846,332/x
  3. Step 3: Cross multiply
    854,640x = 1,846,332 × 1,846,332
  4. Step 4: Simplify right side
    854,640x = 3,408,941,854,224
  5. Step 5: Solve for x
    x = 3,408,941,854,224/854,640
  6. Step 6: Final answer
    x = 3,988,745.97

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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.