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Finding the Third Proportional to 658,598 and 993,086

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Solution

The third proportional to 658,598 and 993,086 is: 1,497,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,598 : 993,086 = 993,086 : x
  2. Step 2: Convert to fraction form
    658,598/993,086 = 993,086/x
  3. Step 3: Cross multiply
    658,598x = 993,086 × 993,086
  4. Step 4: Simplify right side
    658,598x = 986,219,803,396
  5. Step 5: Solve for x
    x = 986,219,803,396/658,598
  6. Step 6: Final answer
    x = 1,497,453.38

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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.