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Finding the Third Proportional to 822,111 and 1,291,446

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Solution

The third proportional to 822,111 and 1,291,446 is: 2,028,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,111 : 1,291,446 = 1,291,446 : x
  2. Step 2: Convert to fraction form
    822,111/1,291,446 = 1,291,446/x
  3. Step 3: Cross multiply
    822,111x = 1,291,446 × 1,291,446
  4. Step 4: Simplify right side
    822,111x = 1,667,832,770,916
  5. Step 5: Solve for x
    x = 1,667,832,770,916/822,111
  6. Step 6: Final answer
    x = 2,028,719.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.