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Finding the Third Proportional to 534,519 and 1,152,588.23

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Solution

The third proportional to 534,519 and 1,152,588.23 is: 2,485,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,519 : 1,152,588.23 = 1,152,588.23 : x
  2. Step 2: Convert to fraction form
    534,519/1,152,588.23 = 1,152,588.23/x
  3. Step 3: Cross multiply
    534,519x = 1,152,588.23 × 1,152,588.23
  4. Step 4: Simplify right side
    534,519x = 1,328,459,638,019.68
  5. Step 5: Solve for x
    x = 1,328,459,638,019.68/534,519
  6. Step 6: Final answer
    x = 2,485,336.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.