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Finding the Third Proportional to 1,668,026.25 and 3,641,913

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Solution

The third proportional to 1,668,026.25 and 3,641,913 is: 7,951,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,026.25 : 3,641,913 = 3,641,913 : x
  2. Step 2: Convert to fraction form
    1,668,026.25/3,641,913 = 3,641,913/x
  3. Step 3: Cross multiply
    1,668,026.25x = 3,641,913 × 3,641,913
  4. Step 4: Simplify right side
    1,668,026.25x = 13,263,530,299,569
  5. Step 5: Solve for x
    x = 13,263,530,299,569/1,668,026.25
  6. Step 6: Final answer
    x = 7,951,631.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.