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Finding the Third Proportional to 813,022 and 1,717,614.50

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Solution

The third proportional to 813,022 and 1,717,614.50 is: 3,628,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,022 : 1,717,614.50 = 1,717,614.50 : x
  2. Step 2: Convert to fraction form
    813,022/1,717,614.50 = 1,717,614.50/x
  3. Step 3: Cross multiply
    813,022x = 1,717,614.50 × 1,717,614.50
  4. Step 4: Simplify right side
    813,022x = 2,950,199,570,610.25
  5. Step 5: Solve for x
    x = 2,950,199,570,610.25/813,022
  6. Step 6: Final answer
    x = 3,628,683.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.