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Finding the Third Proportional to 658,662 and 946,521

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Solution

The third proportional to 658,662 and 946,521 is: 1,360,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,662 : 946,521 = 946,521 : x
  2. Step 2: Convert to fraction form
    658,662/946,521 = 946,521/x
  3. Step 3: Cross multiply
    658,662x = 946,521 × 946,521
  4. Step 4: Simplify right side
    658,662x = 895,902,003,441
  5. Step 5: Solve for x
    x = 895,902,003,441/658,662
  6. Step 6: Final answer
    x = 1,360,184.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.