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Finding the Third Proportional to 812,728.69 and 1,287,983.53

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Solution

The third proportional to 812,728.69 and 1,287,983.53 is: 2,041,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,728.69 : 1,287,983.53 = 1,287,983.53 : x
  2. Step 2: Convert to fraction form
    812,728.69/1,287,983.53 = 1,287,983.53/x
  3. Step 3: Cross multiply
    812,728.69x = 1,287,983.53 × 1,287,983.53
  4. Step 4: Simplify right side
    812,728.69x = 1,658,901,576,771.22
  5. Step 5: Solve for x
    x = 1,658,901,576,771.22/812,728.69
  6. Step 6: Final answer
    x = 2,041,150.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.