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Finding the Third Proportional to 2,005,213.50 and 4,175,664

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Solution

The third proportional to 2,005,213.50 and 4,175,664 is: 8,695,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,213.50 : 4,175,664 = 4,175,664 : x
  2. Step 2: Convert to fraction form
    2,005,213.50/4,175,664 = 4,175,664/x
  3. Step 3: Cross multiply
    2,005,213.50x = 4,175,664 × 4,175,664
  4. Step 4: Simplify right side
    2,005,213.50x = 17,436,169,840,896
  5. Step 5: Solve for x
    x = 17,436,169,840,896/2,005,213.50
  6. Step 6: Final answer
    x = 8,695,418.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.