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Finding the Third Proportional to 2,677,178.25 and 4,078,501.88

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Solution

The third proportional to 2,677,178.25 and 4,078,501.88 is: 6,213,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,178.25 : 4,078,501.88 = 4,078,501.88 : x
  2. Step 2: Convert to fraction form
    2,677,178.25/4,078,501.88 = 4,078,501.88/x
  3. Step 3: Cross multiply
    2,677,178.25x = 4,078,501.88 × 4,078,501.88
  4. Step 4: Simplify right side
    2,677,178.25x = 16,634,177,544,378.52
  5. Step 5: Solve for x
    x = 16,634,177,544,378.52/2,677,178.25
  6. Step 6: Final answer
    x = 6,213,324.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.