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Finding the Third Proportional to 857,721 and 1,829,440

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Solution

The third proportional to 857,721 and 1,829,440 is: 3,902,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,721 : 1,829,440 = 1,829,440 : x
  2. Step 2: Convert to fraction form
    857,721/1,829,440 = 1,829,440/x
  3. Step 3: Cross multiply
    857,721x = 1,829,440 × 1,829,440
  4. Step 4: Simplify right side
    857,721x = 3,346,850,713,600
  5. Step 5: Solve for x
    x = 3,346,850,713,600/857,721
  6. Step 6: Final answer
    x = 3,902,027.25

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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.