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Finding the Third Proportional to 923,886 and 1,975,449

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Solution

The third proportional to 923,886 and 1,975,449 is: 4,223,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,886 : 1,975,449 = 1,975,449 : x
  2. Step 2: Convert to fraction form
    923,886/1,975,449 = 1,975,449/x
  3. Step 3: Cross multiply
    923,886x = 1,975,449 × 1,975,449
  4. Step 4: Simplify right side
    923,886x = 3,902,398,751,601
  5. Step 5: Solve for x
    x = 3,902,398,751,601/923,886
  6. Step 6: Final answer
    x = 4,223,896.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.