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Finding the Third Proportional to 854,465 and 1,844,029

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Solution

The third proportional to 854,465 and 1,844,029 is: 3,979,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,465 : 1,844,029 = 1,844,029 : x
  2. Step 2: Convert to fraction form
    854,465/1,844,029 = 1,844,029/x
  3. Step 3: Cross multiply
    854,465x = 1,844,029 × 1,844,029
  4. Step 4: Simplify right side
    854,465x = 3,400,442,952,841
  5. Step 5: Solve for x
    x = 3,400,442,952,841/854,465
  6. Step 6: Final answer
    x = 3,979,616.43

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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.