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Finding the Third Proportional to 534,834 and 1,174,630.50

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Solution

The third proportional to 534,834 and 1,174,630.50 is: 2,579,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,834 : 1,174,630.50 = 1,174,630.50 : x
  2. Step 2: Convert to fraction form
    534,834/1,174,630.50 = 1,174,630.50/x
  3. Step 3: Cross multiply
    534,834x = 1,174,630.50 × 1,174,630.50
  4. Step 4: Simplify right side
    534,834x = 1,379,756,811,530.25
  5. Step 5: Solve for x
    x = 1,379,756,811,530.25/534,834
  6. Step 6: Final answer
    x = 2,579,785.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.