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Finding the Third Proportional to 658,660 and 946,518

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Solution

The third proportional to 658,660 and 946,518 is: 1,360,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,660 : 946,518 = 946,518 : x
  2. Step 2: Convert to fraction form
    658,660/946,518 = 946,518/x
  3. Step 3: Cross multiply
    658,660x = 946,518 × 946,518
  4. Step 4: Simplify right side
    658,660x = 895,896,324,324
  5. Step 5: Solve for x
    x = 895,896,324,324/658,660
  6. Step 6: Final answer
    x = 1,360,180.25

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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.