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Finding the Third Proportional to 3,175,114.50 and 4,769,826

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Solution

The third proportional to 3,175,114.50 and 4,769,826 is: 7,165,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,114.50 : 4,769,826 = 4,769,826 : x
  2. Step 2: Convert to fraction form
    3,175,114.50/4,769,826 = 4,769,826/x
  3. Step 3: Cross multiply
    3,175,114.50x = 4,769,826 × 4,769,826
  4. Step 4: Simplify right side
    3,175,114.50x = 22,751,240,070,276
  5. Step 5: Solve for x
    x = 22,751,240,070,276/3,175,114.50
  6. Step 6: Final answer
    x = 7,165,486.50

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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.