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Finding the Third Proportional to 416,896 and 848,516

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Solution

The third proportional to 416,896 and 848,516 is: 1,727,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,896 : 848,516 = 848,516 : x
  2. Step 2: Convert to fraction form
    416,896/848,516 = 848,516/x
  3. Step 3: Cross multiply
    416,896x = 848,516 × 848,516
  4. Step 4: Simplify right side
    416,896x = 719,979,402,256
  5. Step 5: Solve for x
    x = 719,979,402,256/416,896
  6. Step 6: Final answer
    x = 1,727,000.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.