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Finding the Third Proportional to 852,343 and 1,837,525

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Solution

The third proportional to 852,343 and 1,837,525 is: 3,961,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,343 : 1,837,525 = 1,837,525 : x
  2. Step 2: Convert to fraction form
    852,343/1,837,525 = 1,837,525/x
  3. Step 3: Cross multiply
    852,343x = 1,837,525 × 1,837,525
  4. Step 4: Simplify right side
    852,343x = 3,376,498,125,625
  5. Step 5: Solve for x
    x = 3,376,498,125,625/852,343
  6. Step 6: Final answer
    x = 3,961,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.