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Finding the Third Proportional to 1,294,046 and 1,959,204

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Solution

The third proportional to 1,294,046 and 1,959,204 is: 2,966,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,046 : 1,959,204 = 1,959,204 : x
  2. Step 2: Convert to fraction form
    1,294,046/1,959,204 = 1,959,204/x
  3. Step 3: Cross multiply
    1,294,046x = 1,959,204 × 1,959,204
  4. Step 4: Simplify right side
    1,294,046x = 3,838,480,313,616
  5. Step 5: Solve for x
    x = 3,838,480,313,616/1,294,046
  6. Step 6: Final answer
    x = 2,966,262.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.