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Finding the Third Proportional to 813,817.50 and 1,767,741

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Solution

The third proportional to 813,817.50 and 1,767,741 is: 3,839,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,817.50 : 1,767,741 = 1,767,741 : x
  2. Step 2: Convert to fraction form
    813,817.50/1,767,741 = 1,767,741/x
  3. Step 3: Cross multiply
    813,817.50x = 1,767,741 × 1,767,741
  4. Step 4: Simplify right side
    813,817.50x = 3,124,908,243,081
  5. Step 5: Solve for x
    x = 3,124,908,243,081/813,817.50
  6. Step 6: Final answer
    x = 3,839,814.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.