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Finding the Third Proportional to 543,729.75 and 1,166,178

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Solution

The third proportional to 543,729.75 and 1,166,178 is: 2,501,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,729.75 : 1,166,178 = 1,166,178 : x
  2. Step 2: Convert to fraction form
    543,729.75/1,166,178 = 1,166,178/x
  3. Step 3: Cross multiply
    543,729.75x = 1,166,178 × 1,166,178
  4. Step 4: Simplify right side
    543,729.75x = 1,359,971,127,684
  5. Step 5: Solve for x
    x = 1,359,971,127,684/543,729.75
  6. Step 6: Final answer
    x = 2,501,189.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.