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Finding the Third Proportional to 2,100,451.50 and 4,607,523

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Solution

The third proportional to 2,100,451.50 and 4,607,523 is: 10,107,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,451.50 : 4,607,523 = 4,607,523 : x
  2. Step 2: Convert to fraction form
    2,100,451.50/4,607,523 = 4,607,523/x
  3. Step 3: Cross multiply
    2,100,451.50x = 4,607,523 × 4,607,523
  4. Step 4: Simplify right side
    2,100,451.50x = 21,229,268,195,529
  5. Step 5: Solve for x
    x = 21,229,268,195,529/2,100,451.50
  6. Step 6: Final answer
    x = 10,107,002.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.