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Finding the Third Proportional to 2,005,209.75 and 4,175,658

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Solution

The third proportional to 2,005,209.75 and 4,175,658 is: 8,695,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,209.75 : 4,175,658 = 4,175,658 : x
  2. Step 2: Convert to fraction form
    2,005,209.75/4,175,658 = 4,175,658/x
  3. Step 3: Cross multiply
    2,005,209.75x = 4,175,658 × 4,175,658
  4. Step 4: Simplify right side
    2,005,209.75x = 17,436,119,732,964
  5. Step 5: Solve for x
    x = 17,436,119,732,964/2,005,209.75
  6. Step 6: Final answer
    x = 8,695,409.41

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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.