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Finding the Third Proportional to 886,464 and 1,825,200

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Solution

The third proportional to 886,464 and 1,825,200 is: 3,758,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464 : 1,825,200 = 1,825,200 : x
  2. Step 2: Convert to fraction form
    886,464/1,825,200 = 1,825,200/x
  3. Step 3: Cross multiply
    886,464x = 1,825,200 × 1,825,200
  4. Step 4: Simplify right side
    886,464x = 3,331,355,040,000
  5. Step 5: Solve for x
    x = 3,331,355,040,000/886,464
  6. Step 6: Final answer
    x = 3,758,026.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.