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Finding the Third Proportional to 723,829.50 and 1,429,491.38

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Solution

The third proportional to 723,829.50 and 1,429,491.38 is: 2,823,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,829.50 : 1,429,491.38 = 1,429,491.38 : x
  2. Step 2: Convert to fraction form
    723,829.50/1,429,491.38 = 1,429,491.38/x
  3. Step 3: Cross multiply
    723,829.50x = 1,429,491.38 × 1,429,491.38
  4. Step 4: Simplify right side
    723,829.50x = 2,043,445,591,199.39
  5. Step 5: Solve for x
    x = 2,043,445,591,199.39/723,829.50
  6. Step 6: Final answer
    x = 2,823,103.49

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.