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Finding the Third Proportional to 454,365 and 996,859

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Solution

The third proportional to 454,365 and 996,859 is: 2,187,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,365 : 996,859 = 996,859 : x
  2. Step 2: Convert to fraction form
    454,365/996,859 = 996,859/x
  3. Step 3: Cross multiply
    454,365x = 996,859 × 996,859
  4. Step 4: Simplify right side
    454,365x = 993,727,865,881
  5. Step 5: Solve for x
    x = 993,727,865,881/454,365
  6. Step 6: Final answer
    x = 2,187,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.