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Finding the Third Proportional to 403,872 and 886,080

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Solution

The third proportional to 403,872 and 886,080 is: 1,944,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,872 : 886,080 = 886,080 : x
  2. Step 2: Convert to fraction form
    403,872/886,080 = 886,080/x
  3. Step 3: Cross multiply
    403,872x = 886,080 × 886,080
  4. Step 4: Simplify right side
    403,872x = 785,137,766,400
  5. Step 5: Solve for x
    x = 785,137,766,400/403,872
  6. Step 6: Final answer
    x = 1,944,026.24

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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.