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Finding the Third Proportional to 421,698 and 907,872

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Solution

The third proportional to 421,698 and 907,872 is: 1,954,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,698 : 907,872 = 907,872 : x
  2. Step 2: Convert to fraction form
    421,698/907,872 = 907,872/x
  3. Step 3: Cross multiply
    421,698x = 907,872 × 907,872
  4. Step 4: Simplify right side
    421,698x = 824,231,568,384
  5. Step 5: Solve for x
    x = 824,231,568,384/421,698
  6. Step 6: Final answer
    x = 1,954,554.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.