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Finding the Third Proportional to 889,138.69 and 2,098,234.69

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Solution

The third proportional to 889,138.69 and 2,098,234.69 is: 4,951,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,138.69 : 2,098,234.69 = 2,098,234.69 : x
  2. Step 2: Convert to fraction form
    889,138.69/2,098,234.69 = 2,098,234.69/x
  3. Step 3: Cross multiply
    889,138.69x = 2,098,234.69 × 2,098,234.69
  4. Step 4: Simplify right side
    889,138.69x = 4,402,588,803,828.22
  5. Step 5: Solve for x
    x = 4,402,588,803,828.22/889,138.69
  6. Step 6: Final answer
    x = 4,951,520.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.