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Finding the Third Proportional to 403,878 and 886,092

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Solution

The third proportional to 403,878 and 886,092 is: 1,944,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,878 : 886,092 = 886,092 : x
  2. Step 2: Convert to fraction form
    403,878/886,092 = 886,092/x
  3. Step 3: Cross multiply
    403,878x = 886,092 × 886,092
  4. Step 4: Simplify right side
    403,878x = 785,159,032,464
  5. Step 5: Solve for x
    x = 785,159,032,464/403,878
  6. Step 6: Final answer
    x = 1,944,050.02

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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.