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Finding the Third Proportional to 857,438 and 1,828,762

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Solution

The third proportional to 857,438 and 1,828,762 is: 3,900,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,438 : 1,828,762 = 1,828,762 : x
  2. Step 2: Convert to fraction form
    857,438/1,828,762 = 1,828,762/x
  3. Step 3: Cross multiply
    857,438x = 1,828,762 × 1,828,762
  4. Step 4: Simplify right side
    857,438x = 3,344,370,452,644
  5. Step 5: Solve for x
    x = 3,344,370,452,644/857,438
  6. Step 6: Final answer
    x = 3,900,422.48

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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.