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Finding the Third Proportional to 3,615,940.50 and 4,910,872.50

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Solution

The third proportional to 3,615,940.50 and 4,910,872.50 is: 6,669,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,940.50 : 4,910,872.50 = 4,910,872.50 : x
  2. Step 2: Convert to fraction form
    3,615,940.50/4,910,872.50 = 4,910,872.50/x
  3. Step 3: Cross multiply
    3,615,940.50x = 4,910,872.50 × 4,910,872.50
  4. Step 4: Simplify right side
    3,615,940.50x = 24,116,668,711,256.25
  5. Step 5: Solve for x
    x = 24,116,668,711,256.25/3,615,940.50
  6. Step 6: Final answer
    x = 6,669,542.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.