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Finding the Third Proportional to 543,316 and 860,126

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Solution

The third proportional to 543,316 and 860,126 is: 1,361,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,316 : 860,126 = 860,126 : x
  2. Step 2: Convert to fraction form
    543,316/860,126 = 860,126/x
  3. Step 3: Cross multiply
    543,316x = 860,126 × 860,126
  4. Step 4: Simplify right side
    543,316x = 739,816,735,876
  5. Step 5: Solve for x
    x = 739,816,735,876/543,316
  6. Step 6: Final answer
    x = 1,361,669.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.