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Finding the Third Proportional to 541,650 and 1,173,696

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Solution

The third proportional to 541,650 and 1,173,696 is: 2,543,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,650 : 1,173,696 = 1,173,696 : x
  2. Step 2: Convert to fraction form
    541,650/1,173,696 = 1,173,696/x
  3. Step 3: Cross multiply
    541,650x = 1,173,696 × 1,173,696
  4. Step 4: Simplify right side
    541,650x = 1,377,562,300,416
  5. Step 5: Solve for x
    x = 1,377,562,300,416/541,650
  6. Step 6: Final answer
    x = 2,543,270.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.