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Finding the Third Proportional to 620,981.44 and 934,542.56

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Solution

The third proportional to 620,981.44 and 934,542.56 is: 1,406,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,981.44 : 934,542.56 = 934,542.56 : x
  2. Step 2: Convert to fraction form
    620,981.44/934,542.56 = 934,542.56/x
  3. Step 3: Cross multiply
    620,981.44x = 934,542.56 × 934,542.56
  4. Step 4: Simplify right side
    620,981.44x = 873,369,801,124.07
  5. Step 5: Solve for x
    x = 873,369,801,124.07/620,981.44
  6. Step 6: Final answer
    x = 1,406,434.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.