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Finding the Third Proportional to 658,593 and 993,077

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Solution

The third proportional to 658,593 and 993,077 is: 1,497,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,593 : 993,077 = 993,077 : x
  2. Step 2: Convert to fraction form
    658,593/993,077 = 993,077/x
  3. Step 3: Cross multiply
    658,593x = 993,077 × 993,077
  4. Step 4: Simplify right side
    658,593x = 986,201,927,929
  5. Step 5: Solve for x
    x = 986,201,927,929/658,593
  6. Step 6: Final answer
    x = 1,497,437.61

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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.