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Finding the Third Proportional to 445,206 and 986,451

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Solution

The third proportional to 445,206 and 986,451 is: 2,185,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,206 : 986,451 = 986,451 : x
  2. Step 2: Convert to fraction form
    445,206/986,451 = 986,451/x
  3. Step 3: Cross multiply
    445,206x = 986,451 × 986,451
  4. Step 4: Simplify right side
    445,206x = 973,085,575,401
  5. Step 5: Solve for x
    x = 973,085,575,401/445,206
  6. Step 6: Final answer
    x = 2,185,697.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.