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Finding the Third Proportional to 434,452 and 921,344

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Solution

The third proportional to 434,452 and 921,344 is: 1,953,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,452 : 921,344 = 921,344 : x
  2. Step 2: Convert to fraction form
    434,452/921,344 = 921,344/x
  3. Step 3: Cross multiply
    434,452x = 921,344 × 921,344
  4. Step 4: Simplify right side
    434,452x = 848,874,766,336
  5. Step 5: Solve for x
    x = 848,874,766,336/434,452
  6. Step 6: Final answer
    x = 1,953,897.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.