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Finding the Third Proportional to 2,677,182.75 and 4,078,509.75

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Solution

The third proportional to 2,677,182.75 and 4,078,509.75 is: 6,213,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,182.75 : 4,078,509.75 = 4,078,509.75 : x
  2. Step 2: Convert to fraction form
    2,677,182.75/4,078,509.75 = 4,078,509.75/x
  3. Step 3: Cross multiply
    2,677,182.75x = 4,078,509.75 × 4,078,509.75
  4. Step 4: Simplify right side
    2,677,182.75x = 16,634,241,780,845.06
  5. Step 5: Solve for x
    x = 16,634,241,780,845.06/2,677,182.75
  6. Step 6: Final answer
    x = 6,213,338.17

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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.