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Finding the Third Proportional to 416,690 and 898,276

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Solution

The third proportional to 416,690 and 898,276 is: 1,936,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,690 : 898,276 = 898,276 : x
  2. Step 2: Convert to fraction form
    416,690/898,276 = 898,276/x
  3. Step 3: Cross multiply
    416,690x = 898,276 × 898,276
  4. Step 4: Simplify right side
    416,690x = 806,899,772,176
  5. Step 5: Solve for x
    x = 806,899,772,176/416,690
  6. Step 6: Final answer
    x = 1,936,451.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.