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Finding the Third Proportional to 2,005,732 and 4,177,352

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Solution

The third proportional to 2,005,732 and 4,177,352 is: 8,700,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,732 : 4,177,352 = 4,177,352 : x
  2. Step 2: Convert to fraction form
    2,005,732/4,177,352 = 4,177,352/x
  3. Step 3: Cross multiply
    2,005,732x = 4,177,352 × 4,177,352
  4. Step 4: Simplify right side
    2,005,732x = 17,450,269,731,904
  5. Step 5: Solve for x
    x = 17,450,269,731,904/2,005,732
  6. Step 6: Final answer
    x = 8,700,200.09

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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.