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Finding the Third Proportional to 407,926 and 871,904

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Solution

The third proportional to 407,926 and 871,904 is: 1,863,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,926 : 871,904 = 871,904 : x
  2. Step 2: Convert to fraction form
    407,926/871,904 = 871,904/x
  3. Step 3: Cross multiply
    407,926x = 871,904 × 871,904
  4. Step 4: Simplify right side
    407,926x = 760,216,585,216
  5. Step 5: Solve for x
    x = 760,216,585,216/407,926
  6. Step 6: Final answer
    x = 1,863,613.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.