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Finding the Third Proportional to 1,824,363 and 2,861,871.75

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Solution

The third proportional to 1,824,363 and 2,861,871.75 is: 4,489,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,363 : 2,861,871.75 = 2,861,871.75 : x
  2. Step 2: Convert to fraction form
    1,824,363/2,861,871.75 = 2,861,871.75/x
  3. Step 3: Cross multiply
    1,824,363x = 2,861,871.75 × 2,861,871.75
  4. Step 4: Simplify right side
    1,824,363x = 8,190,309,913,448.06
  5. Step 5: Solve for x
    x = 8,190,309,913,448.06/1,824,363
  6. Step 6: Final answer
    x = 4,489,408.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.