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Finding the Third Proportional to 822,872 and 1,091,862

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Solution

The third proportional to 822,872 and 1,091,862 is: 1,448,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,872 : 1,091,862 = 1,091,862 : x
  2. Step 2: Convert to fraction form
    822,872/1,091,862 = 1,091,862/x
  3. Step 3: Cross multiply
    822,872x = 1,091,862 × 1,091,862
  4. Step 4: Simplify right side
    822,872x = 1,192,162,627,044
  5. Step 5: Solve for x
    x = 1,192,162,627,044/822,872
  6. Step 6: Final answer
    x = 1,448,782.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.