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Finding the Third Proportional to 822,456 and 1,226,856

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Solution

The third proportional to 822,456 and 1,226,856 is: 1,830,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,456 : 1,226,856 = 1,226,856 : x
  2. Step 2: Convert to fraction form
    822,456/1,226,856 = 1,226,856/x
  3. Step 3: Cross multiply
    822,456x = 1,226,856 × 1,226,856
  4. Step 4: Simplify right side
    822,456x = 1,505,175,644,736
  5. Step 5: Solve for x
    x = 1,505,175,644,736/822,456
  6. Step 6: Final answer
    x = 1,830,098.69

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