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Finding the Third Proportional to 534,832 and 1,174,639

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Solution

The third proportional to 534,832 and 1,174,639 is: 2,579,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,832 : 1,174,639 = 1,174,639 : x
  2. Step 2: Convert to fraction form
    534,832/1,174,639 = 1,174,639/x
  3. Step 3: Cross multiply
    534,832x = 1,174,639 × 1,174,639
  4. Step 4: Simplify right side
    534,832x = 1,379,776,780,321
  5. Step 5: Solve for x
    x = 1,379,776,780,321/534,832
  6. Step 6: Final answer
    x = 2,579,832.13

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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.