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Finding the Third Proportional to 650,706 and 1,193,412

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Solution

The third proportional to 650,706 and 1,193,412 is: 2,188,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,706 : 1,193,412 = 1,193,412 : x
  2. Step 2: Convert to fraction form
    650,706/1,193,412 = 1,193,412/x
  3. Step 3: Cross multiply
    650,706x = 1,193,412 × 1,193,412
  4. Step 4: Simplify right side
    650,706x = 1,424,232,201,744
  5. Step 5: Solve for x
    x = 1,424,232,201,744/650,706
  6. Step 6: Final answer
    x = 2,188,749.15

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.