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Finding the Third Proportional to 650,667.94 and 972,172.13

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Solution

The third proportional to 650,667.94 and 972,172.13 is: 1,452,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,667.94 : 972,172.13 = 972,172.13 : x
  2. Step 2: Convert to fraction form
    650,667.94/972,172.13 = 972,172.13/x
  3. Step 3: Cross multiply
    650,667.94x = 972,172.13 × 972,172.13
  4. Step 4: Simplify right side
    650,667.94x = 945,118,640,627.02
  5. Step 5: Solve for x
    x = 945,118,640,627.02/650,667.94
  6. Step 6: Final answer
    x = 1,452,536.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.