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Finding the Third Proportional to 864,981 and 1,857,825

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Solution

The third proportional to 864,981 and 1,857,825 is: 3,990,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,981 : 1,857,825 = 1,857,825 : x
  2. Step 2: Convert to fraction form
    864,981/1,857,825 = 1,857,825/x
  3. Step 3: Cross multiply
    864,981x = 1,857,825 × 1,857,825
  4. Step 4: Simplify right side
    864,981x = 3,451,513,730,625
  5. Step 5: Solve for x
    x = 3,451,513,730,625/864,981
  6. Step 6: Final answer
    x = 3,990,276.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.