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Finding the Third Proportional to 438,339 and 946,518

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Solution

The third proportional to 438,339 and 946,518 is: 2,043,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,339 : 946,518 = 946,518 : x
  2. Step 2: Convert to fraction form
    438,339/946,518 = 946,518/x
  3. Step 3: Cross multiply
    438,339x = 946,518 × 946,518
  4. Step 4: Simplify right side
    438,339x = 895,896,324,324
  5. Step 5: Solve for x
    x = 895,896,324,324/438,339
  6. Step 6: Final answer
    x = 2,043,843.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.