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Finding the Third Proportional to 591,844 and 902,518

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Solution

The third proportional to 591,844 and 902,518 is: 1,376,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,844 : 902,518 = 902,518 : x
  2. Step 2: Convert to fraction form
    591,844/902,518 = 902,518/x
  3. Step 3: Cross multiply
    591,844x = 902,518 × 902,518
  4. Step 4: Simplify right side
    591,844x = 814,538,740,324
  5. Step 5: Solve for x
    x = 814,538,740,324/591,844
  6. Step 6: Final answer
    x = 1,376,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.