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Finding the Third Proportional to 543,111 and 1,179,534

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Solution

The third proportional to 543,111 and 1,179,534 is: 2,561,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,111 : 1,179,534 = 1,179,534 : x
  2. Step 2: Convert to fraction form
    543,111/1,179,534 = 1,179,534/x
  3. Step 3: Cross multiply
    543,111x = 1,179,534 × 1,179,534
  4. Step 4: Simplify right side
    543,111x = 1,391,300,457,156
  5. Step 5: Solve for x
    x = 1,391,300,457,156/543,111
  6. Step 6: Final answer
    x = 2,561,723.95

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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.