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Finding the Third Proportional to 658,596 and 993,084

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Solution

The third proportional to 658,596 and 993,084 is: 1,497,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,596 : 993,084 = 993,084 : x
  2. Step 2: Convert to fraction form
    658,596/993,084 = 993,084/x
  3. Step 3: Cross multiply
    658,596x = 993,084 × 993,084
  4. Step 4: Simplify right side
    658,596x = 986,215,831,056
  5. Step 5: Solve for x
    x = 986,215,831,056/658,596
  6. Step 6: Final answer
    x = 1,497,451.90

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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.