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Finding the Third Proportional to 857,802 and 1,856,823

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Solution

The third proportional to 857,802 and 1,856,823 is: 4,019,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,802 : 1,856,823 = 1,856,823 : x
  2. Step 2: Convert to fraction form
    857,802/1,856,823 = 1,856,823/x
  3. Step 3: Cross multiply
    857,802x = 1,856,823 × 1,856,823
  4. Step 4: Simplify right side
    857,802x = 3,447,791,653,329
  5. Step 5: Solve for x
    x = 3,447,791,653,329/857,802
  6. Step 6: Final answer
    x = 4,019,332.73

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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.