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Finding the Third Proportional to 3,175,165.50 and 4,769,901

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Solution

The third proportional to 3,175,165.50 and 4,769,901 is: 7,165,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,165.50 : 4,769,901 = 4,769,901 : x
  2. Step 2: Convert to fraction form
    3,175,165.50/4,769,901 = 4,769,901/x
  3. Step 3: Cross multiply
    3,175,165.50x = 4,769,901 × 4,769,901
  4. Step 4: Simplify right side
    3,175,165.50x = 22,751,955,549,801
  5. Step 5: Solve for x
    x = 22,751,955,549,801/3,175,165.50
  6. Step 6: Final answer
    x = 7,165,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.