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Finding the Third Proportional to 426,117.75 and 932,401.88

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Solution

The third proportional to 426,117.75 and 932,401.88 is: 2,040,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,117.75 : 932,401.88 = 932,401.88 : x
  2. Step 2: Convert to fraction form
    426,117.75/932,401.88 = 932,401.88/x
  3. Step 3: Cross multiply
    426,117.75x = 932,401.88 × 932,401.88
  4. Step 4: Simplify right side
    426,117.75x = 869,373,256,503.52
  5. Step 5: Solve for x
    x = 869,373,256,503.52/426,117.75
  6. Step 6: Final answer
    x = 2,040,218.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.