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Finding the Third Proportional to 857,931 and 1,829,859

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Solution

The third proportional to 857,931 and 1,829,859 is: 3,902,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,931 : 1,829,859 = 1,829,859 : x
  2. Step 2: Convert to fraction form
    857,931/1,829,859 = 1,829,859/x
  3. Step 3: Cross multiply
    857,931x = 1,829,859 × 1,829,859
  4. Step 4: Simplify right side
    857,931x = 3,348,383,959,881
  5. Step 5: Solve for x
    x = 3,348,383,959,881/857,931
  6. Step 6: Final answer
    x = 3,902,859.27

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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.