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Finding the Third Proportional to 1,233,666 and 2,855,769

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Solution

The third proportional to 1,233,666 and 2,855,769 is: 6,610,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,666 : 2,855,769 = 2,855,769 : x
  2. Step 2: Convert to fraction form
    1,233,666/2,855,769 = 2,855,769/x
  3. Step 3: Cross multiply
    1,233,666x = 2,855,769 × 2,855,769
  4. Step 4: Simplify right side
    1,233,666x = 8,155,416,581,361
  5. Step 5: Solve for x
    x = 8,155,416,581,361/1,233,666
  6. Step 6: Final answer
    x = 6,610,716.82

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.