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Finding the Third Proportional to 403,884 and 886,100

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Solution

The third proportional to 403,884 and 886,100 is: 1,944,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,884 : 886,100 = 886,100 : x
  2. Step 2: Convert to fraction form
    403,884/886,100 = 886,100/x
  3. Step 3: Cross multiply
    403,884x = 886,100 × 886,100
  4. Step 4: Simplify right side
    403,884x = 785,173,210,000
  5. Step 5: Solve for x
    x = 785,173,210,000/403,884
  6. Step 6: Final answer
    x = 1,944,056.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.