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Finding the Third Proportional to 866,814 and 1,291,041

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Solution

The third proportional to 866,814 and 1,291,041 is: 1,922,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,814 : 1,291,041 = 1,291,041 : x
  2. Step 2: Convert to fraction form
    866,814/1,291,041 = 1,291,041/x
  3. Step 3: Cross multiply
    866,814x = 1,291,041 × 1,291,041
  4. Step 4: Simplify right side
    866,814x = 1,666,786,863,681
  5. Step 5: Solve for x
    x = 1,666,786,863,681/866,814
  6. Step 6: Final answer
    x = 1,922,888.72

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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.