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Finding the Third Proportional to 651,935 and 959,036

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Solution

The third proportional to 651,935 and 959,036 is: 1,410,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,935 : 959,036 = 959,036 : x
  2. Step 2: Convert to fraction form
    651,935/959,036 = 959,036/x
  3. Step 3: Cross multiply
    651,935x = 959,036 × 959,036
  4. Step 4: Simplify right side
    651,935x = 919,750,049,296
  5. Step 5: Solve for x
    x = 919,750,049,296/651,935
  6. Step 6: Final answer
    x = 1,410,800.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.