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Finding the Third Proportional to 822,816 and 1,242,996

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Solution

The third proportional to 822,816 and 1,242,996 is: 1,877,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,816 : 1,242,996 = 1,242,996 : x
  2. Step 2: Convert to fraction form
    822,816/1,242,996 = 1,242,996/x
  3. Step 3: Cross multiply
    822,816x = 1,242,996 × 1,242,996
  4. Step 4: Simplify right side
    822,816x = 1,545,039,056,016
  5. Step 5: Solve for x
    x = 1,545,039,056,016/822,816
  6. Step 6: Final answer
    x = 1,877,745.52

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.