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Finding the Third Proportional to 416,781 and 910,622.25

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Solution

The third proportional to 416,781 and 910,622.25 is: 1,989,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,781 : 910,622.25 = 910,622.25 : x
  2. Step 2: Convert to fraction form
    416,781/910,622.25 = 910,622.25/x
  3. Step 3: Cross multiply
    416,781x = 910,622.25 × 910,622.25
  4. Step 4: Simplify right side
    416,781x = 829,232,882,195.06
  5. Step 5: Solve for x
    x = 829,232,882,195.06/416,781
  6. Step 6: Final answer
    x = 1,989,612.97

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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.