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Finding the Third Proportional to 783,819.75 and 1,145,485.38

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Solution

The third proportional to 783,819.75 and 1,145,485.38 is: 1,674,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,819.75 : 1,145,485.38 = 1,145,485.38 : x
  2. Step 2: Convert to fraction form
    783,819.75/1,145,485.38 = 1,145,485.38/x
  3. Step 3: Cross multiply
    783,819.75x = 1,145,485.38 × 1,145,485.38
  4. Step 4: Simplify right side
    783,819.75x = 1,312,136,744,338.89
  5. Step 5: Solve for x
    x = 1,312,136,744,338.89/783,819.75
  6. Step 6: Final answer
    x = 1,674,028.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.