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Finding the Third Proportional to 437,654 and 905,656

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Solution

The third proportional to 437,654 and 905,656 is: 1,874,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,654 : 905,656 = 905,656 : x
  2. Step 2: Convert to fraction form
    437,654/905,656 = 905,656/x
  3. Step 3: Cross multiply
    437,654x = 905,656 × 905,656
  4. Step 4: Simplify right side
    437,654x = 820,212,790,336
  5. Step 5: Solve for x
    x = 820,212,790,336/437,654
  6. Step 6: Final answer
    x = 1,874,112.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.