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Finding the Third Proportional to 416,148.47 and 907,696.97

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Solution

The third proportional to 416,148.47 and 907,696.97 is: 1,979,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,148.47 : 907,696.97 = 907,696.97 : x
  2. Step 2: Convert to fraction form
    416,148.47/907,696.97 = 907,696.97/x
  3. Step 3: Cross multiply
    416,148.47x = 907,696.97 × 907,696.97
  4. Step 4: Simplify right side
    416,148.47x = 823,913,787,077.94
  5. Step 5: Solve for x
    x = 823,913,787,077.94/416,148.47
  6. Step 6: Final answer
    x = 1,979,855.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.