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Finding the Third Proportional to 543,792.38 and 1,166,314.50

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Solution

The third proportional to 543,792.38 and 1,166,314.50 is: 2,501,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,792.38 : 1,166,314.50 = 1,166,314.50 : x
  2. Step 2: Convert to fraction form
    543,792.38/1,166,314.50 = 1,166,314.50/x
  3. Step 3: Cross multiply
    543,792.38x = 1,166,314.50 × 1,166,314.50
  4. Step 4: Simplify right side
    543,792.38x = 1,360,289,512,910.25
  5. Step 5: Solve for x
    x = 1,360,289,512,910.25/543,792.38
  6. Step 6: Final answer
    x = 2,501,486.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.