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Finding the Third Proportional to 462,140.44 and 993,034.69

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Solution

The third proportional to 462,140.44 and 993,034.69 is: 2,133,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,140.44 : 993,034.69 = 993,034.69 : x
  2. Step 2: Convert to fraction form
    462,140.44/993,034.69 = 993,034.69/x
  3. Step 3: Cross multiply
    462,140.44x = 993,034.69 × 993,034.69
  4. Step 4: Simplify right side
    462,140.44x = 986,117,890,578.22
  5. Step 5: Solve for x
    x = 986,117,890,578.22/462,140.44
  6. Step 6: Final answer
    x = 2,133,805.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.