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Finding the Third Proportional to 543,172 and 798,126

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Solution

The third proportional to 543,172 and 798,126 is: 1,172,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,172 : 798,126 = 798,126 : x
  2. Step 2: Convert to fraction form
    543,172/798,126 = 798,126/x
  3. Step 3: Cross multiply
    543,172x = 798,126 × 798,126
  4. Step 4: Simplify right side
    543,172x = 637,005,111,876
  5. Step 5: Solve for x
    x = 637,005,111,876/543,172
  6. Step 6: Final answer
    x = 1,172,750.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.