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Finding the Third Proportional to 1,294,906.50 and 2,641,221

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Solution

The third proportional to 1,294,906.50 and 2,641,221 is: 5,387,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,906.50 : 2,641,221 = 2,641,221 : x
  2. Step 2: Convert to fraction form
    1,294,906.50/2,641,221 = 2,641,221/x
  3. Step 3: Cross multiply
    1,294,906.50x = 2,641,221 × 2,641,221
  4. Step 4: Simplify right side
    1,294,906.50x = 6,976,048,370,841
  5. Step 5: Solve for x
    x = 6,976,048,370,841/1,294,906.50
  6. Step 6: Final answer
    x = 5,387,298.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.