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Finding the Third Proportional to 614,601 and 962,001

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Solution

The third proportional to 614,601 and 962,001 is: 1,505,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,601 : 962,001 = 962,001 : x
  2. Step 2: Convert to fraction form
    614,601/962,001 = 962,001/x
  3. Step 3: Cross multiply
    614,601x = 962,001 × 962,001
  4. Step 4: Simplify right side
    614,601x = 925,445,924,001
  5. Step 5: Solve for x
    x = 925,445,924,001/614,601
  6. Step 6: Final answer
    x = 1,505,767.03

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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.