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Finding the Third Proportional to 857,002 and 1,636,244

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Solution

The third proportional to 857,002 and 1,636,244 is: 3,124,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,002 : 1,636,244 = 1,636,244 : x
  2. Step 2: Convert to fraction form
    857,002/1,636,244 = 1,636,244/x
  3. Step 3: Cross multiply
    857,002x = 1,636,244 × 1,636,244
  4. Step 4: Simplify right side
    857,002x = 2,677,294,427,536
  5. Step 5: Solve for x
    x = 2,677,294,427,536/857,002
  6. Step 6: Final answer
    x = 3,124,023.55

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.