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Finding the Third Proportional to 746,794.69 and 1,153,176.75

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Solution

The third proportional to 746,794.69 and 1,153,176.75 is: 1,780,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,794.69 : 1,153,176.75 = 1,153,176.75 : x
  2. Step 2: Convert to fraction form
    746,794.69/1,153,176.75 = 1,153,176.75/x
  3. Step 3: Cross multiply
    746,794.69x = 1,153,176.75 × 1,153,176.75
  4. Step 4: Simplify right side
    746,794.69x = 1,329,816,616,740.56
  5. Step 5: Solve for x
    x = 1,329,816,616,740.56/746,794.69
  6. Step 6: Final answer
    x = 1,780,699.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.