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Finding the Third Proportional to 1,005,463.50 and 2,371,512.75

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Solution

The third proportional to 1,005,463.50 and 2,371,512.75 is: 5,593,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,463.50 : 2,371,512.75 = 2,371,512.75 : x
  2. Step 2: Convert to fraction form
    1,005,463.50/2,371,512.75 = 2,371,512.75/x
  3. Step 3: Cross multiply
    1,005,463.50x = 2,371,512.75 × 2,371,512.75
  4. Step 4: Simplify right side
    1,005,463.50x = 5,624,072,723,412.56
  5. Step 5: Solve for x
    x = 5,624,072,723,412.56/1,005,463.50
  6. Step 6: Final answer
    x = 5,593,512.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.