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Finding the Third Proportional to 780,718.69 and 1,164,579.47

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Solution

The third proportional to 780,718.69 and 1,164,579.47 is: 1,737,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,718.69 : 1,164,579.47 = 1,164,579.47 : x
  2. Step 2: Convert to fraction form
    780,718.69/1,164,579.47 = 1,164,579.47/x
  3. Step 3: Cross multiply
    780,718.69x = 1,164,579.47 × 1,164,579.47
  4. Step 4: Simplify right side
    780,718.69x = 1,356,245,339,034.03
  5. Step 5: Solve for x
    x = 1,356,245,339,034.03/780,718.69
  6. Step 6: Final answer
    x = 1,737,175.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.