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Finding the Third Proportional to 589,888 and 907,917

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Solution

The third proportional to 589,888 and 907,917 is: 1,397,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,888 : 907,917 = 907,917 : x
  2. Step 2: Convert to fraction form
    589,888/907,917 = 907,917/x
  3. Step 3: Cross multiply
    589,888x = 907,917 × 907,917
  4. Step 4: Simplify right side
    589,888x = 824,313,278,889
  5. Step 5: Solve for x
    x = 824,313,278,889/589,888
  6. Step 6: Final answer
    x = 1,397,406.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.