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Finding the Third Proportional to 416,276 and 981,554

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Solution

The third proportional to 416,276 and 981,554 is: 2,314,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,276 : 981,554 = 981,554 : x
  2. Step 2: Convert to fraction form
    416,276/981,554 = 981,554/x
  3. Step 3: Cross multiply
    416,276x = 981,554 × 981,554
  4. Step 4: Simplify right side
    416,276x = 963,448,254,916
  5. Step 5: Solve for x
    x = 963,448,254,916/416,276
  6. Step 6: Final answer
    x = 2,314,445.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.