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Finding the Third Proportional to 426,864 and 988,104

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Solution

The third proportional to 426,864 and 988,104 is: 2,287,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,864 : 988,104 = 988,104 : x
  2. Step 2: Convert to fraction form
    426,864/988,104 = 988,104/x
  3. Step 3: Cross multiply
    426,864x = 988,104 × 988,104
  4. Step 4: Simplify right side
    426,864x = 976,349,514,816
  5. Step 5: Solve for x
    x = 976,349,514,816/426,864
  6. Step 6: Final answer
    x = 2,287,261.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.