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Finding the Third Proportional to 416,998 and 898,844

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Solution

The third proportional to 416,998 and 898,844 is: 1,937,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,998 : 898,844 = 898,844 : x
  2. Step 2: Convert to fraction form
    416,998/898,844 = 898,844/x
  3. Step 3: Cross multiply
    416,998x = 898,844 × 898,844
  4. Step 4: Simplify right side
    416,998x = 807,920,536,336
  5. Step 5: Solve for x
    x = 807,920,536,336/416,998
  6. Step 6: Final answer
    x = 1,937,468.61

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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.