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Finding the Third Proportional to 857,936 and 1,865,272

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Solution

The third proportional to 857,936 and 1,865,272 is: 4,055,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,936 : 1,865,272 = 1,865,272 : x
  2. Step 2: Convert to fraction form
    857,936/1,865,272 = 1,865,272/x
  3. Step 3: Cross multiply
    857,936x = 1,865,272 × 1,865,272
  4. Step 4: Simplify right side
    857,936x = 3,479,239,633,984
  5. Step 5: Solve for x
    x = 3,479,239,633,984/857,936
  6. Step 6: Final answer
    x = 4,055,360.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.