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Finding the Third Proportional to 438,341 and 946,522

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Solution

The third proportional to 438,341 and 946,522 is: 2,043,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,341 : 946,522 = 946,522 : x
  2. Step 2: Convert to fraction form
    438,341/946,522 = 946,522/x
  3. Step 3: Cross multiply
    438,341x = 946,522 × 946,522
  4. Step 4: Simplify right side
    438,341x = 895,903,896,484
  5. Step 5: Solve for x
    x = 895,903,896,484/438,341
  6. Step 6: Final answer
    x = 2,043,851.47

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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.