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Finding the Third Proportional to 658,606 and 993,097

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Solution

The third proportional to 658,606 and 993,097 is: 1,497,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,606 : 993,097 = 993,097 : x
  2. Step 2: Convert to fraction form
    658,606/993,097 = 993,097/x
  3. Step 3: Cross multiply
    658,606x = 993,097 × 993,097
  4. Step 4: Simplify right side
    658,606x = 986,241,651,409
  5. Step 5: Solve for x
    x = 986,241,651,409/658,606
  6. Step 6: Final answer
    x = 1,497,468.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.