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Finding the Third Proportional to 822,458 and 1,226,859

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Solution

The third proportional to 822,458 and 1,226,859 is: 1,830,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,458 : 1,226,859 = 1,226,859 : x
  2. Step 2: Convert to fraction form
    822,458/1,226,859 = 1,226,859/x
  3. Step 3: Cross multiply
    822,458x = 1,226,859 × 1,226,859
  4. Step 4: Simplify right side
    822,458x = 1,505,183,005,881
  5. Step 5: Solve for x
    x = 1,505,183,005,881/822,458
  6. Step 6: Final answer
    x = 1,830,103.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.