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Finding the Third Proportional to 854,658 and 1,823,728.50

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Solution

The third proportional to 854,658 and 1,823,728.50 is: 3,891,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,658 : 1,823,728.50 = 1,823,728.50 : x
  2. Step 2: Convert to fraction form
    854,658/1,823,728.50 = 1,823,728.50/x
  3. Step 3: Cross multiply
    854,658x = 1,823,728.50 × 1,823,728.50
  4. Step 4: Simplify right side
    854,658x = 3,325,985,641,712.25
  5. Step 5: Solve for x
    x = 3,325,985,641,712.25/854,658
  6. Step 6: Final answer
    x = 3,891,598.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.