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Finding the Third Proportional to 543,356 and 1,187,676

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Solution

The third proportional to 543,356 and 1,187,676 is: 2,596,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,356 : 1,187,676 = 1,187,676 : x
  2. Step 2: Convert to fraction form
    543,356/1,187,676 = 1,187,676/x
  3. Step 3: Cross multiply
    543,356x = 1,187,676 × 1,187,676
  4. Step 4: Simplify right side
    543,356x = 1,410,574,280,976
  5. Step 5: Solve for x
    x = 1,410,574,280,976/543,356
  6. Step 6: Final answer
    x = 2,596,040.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.