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Finding the Third Proportional to 426,892.78 and 914,302.69

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Solution

The third proportional to 426,892.78 and 914,302.69 is: 1,958,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,892.78 : 914,302.69 = 914,302.69 : x
  2. Step 2: Convert to fraction form
    426,892.78/914,302.69 = 914,302.69/x
  3. Step 3: Cross multiply
    426,892.78x = 914,302.69 × 914,302.69
  4. Step 4: Simplify right side
    426,892.78x = 835,949,404,369.72
  5. Step 5: Solve for x
    x = 835,949,404,369.72/426,892.78
  6. Step 6: Final answer
    x = 1,958,218.65

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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.