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Finding the Third Proportional to 534,868 and 1,165,664

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Solution

The third proportional to 534,868 and 1,165,664 is: 2,540,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,868 : 1,165,664 = 1,165,664 : x
  2. Step 2: Convert to fraction form
    534,868/1,165,664 = 1,165,664/x
  3. Step 3: Cross multiply
    534,868x = 1,165,664 × 1,165,664
  4. Step 4: Simplify right side
    534,868x = 1,358,772,560,896
  5. Step 5: Solve for x
    x = 1,358,772,560,896/534,868
  6. Step 6: Final answer
    x = 2,540,388.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.