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Finding the Third Proportional to 543,840 and 1,178,076

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Solution

The third proportional to 543,840 and 1,178,076 is: 2,551,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,840 : 1,178,076 = 1,178,076 : x
  2. Step 2: Convert to fraction form
    543,840/1,178,076 = 1,178,076/x
  3. Step 3: Cross multiply
    543,840x = 1,178,076 × 1,178,076
  4. Step 4: Simplify right side
    543,840x = 1,387,863,061,776
  5. Step 5: Solve for x
    x = 1,387,863,061,776/543,840
  6. Step 6: Final answer
    x = 2,551,969.44

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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.