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Finding the Third Proportional to 543,913 and 1,178,223

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Solution

The third proportional to 543,913 and 1,178,223 is: 2,552,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,913 : 1,178,223 = 1,178,223 : x
  2. Step 2: Convert to fraction form
    543,913/1,178,223 = 1,178,223/x
  3. Step 3: Cross multiply
    543,913x = 1,178,223 × 1,178,223
  4. Step 4: Simplify right side
    543,913x = 1,388,209,437,729
  5. Step 5: Solve for x
    x = 1,388,209,437,729/543,913
  6. Step 6: Final answer
    x = 2,552,263.76

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Why These Related Problems?

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