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Finding the Third Proportional to 614,602 and 962,002

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Solution

The third proportional to 614,602 and 962,002 is: 1,505,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,602 : 962,002 = 962,002 : x
  2. Step 2: Convert to fraction form
    614,602/962,002 = 962,002/x
  3. Step 3: Cross multiply
    614,602x = 962,002 × 962,002
  4. Step 4: Simplify right side
    614,602x = 925,447,848,004
  5. Step 5: Solve for x
    x = 925,447,848,004/614,602
  6. Step 6: Final answer
    x = 1,505,767.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.