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Finding the Third Proportional to 429,859.41 and 934,350.19

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Solution

The third proportional to 429,859.41 and 934,350.19 is: 2,030,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,859.41 : 934,350.19 = 934,350.19 : x
  2. Step 2: Convert to fraction form
    429,859.41/934,350.19 = 934,350.19/x
  3. Step 3: Cross multiply
    429,859.41x = 934,350.19 × 934,350.19
  4. Step 4: Simplify right side
    429,859.41x = 873,010,272,881.29
  5. Step 5: Solve for x
    x = 873,010,272,881.29/429,859.41
  6. Step 6: Final answer
    x = 2,030,920.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.