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Finding the Third Proportional to 899,414 and 1,915,351

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Solution

The third proportional to 899,414 and 1,915,351 is: 4,078,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,414 : 1,915,351 = 1,915,351 : x
  2. Step 2: Convert to fraction form
    899,414/1,915,351 = 1,915,351/x
  3. Step 3: Cross multiply
    899,414x = 1,915,351 × 1,915,351
  4. Step 4: Simplify right side
    899,414x = 3,668,569,453,201
  5. Step 5: Solve for x
    x = 3,668,569,453,201/899,414
  6. Step 6: Final answer
    x = 4,078,844.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.