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Finding the Third Proportional to 400,974 and 864,630

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Solution

The third proportional to 400,974 and 864,630 is: 1,864,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,974 : 864,630 = 864,630 : x
  2. Step 2: Convert to fraction form
    400,974/864,630 = 864,630/x
  3. Step 3: Cross multiply
    400,974x = 864,630 × 864,630
  4. Step 4: Simplify right side
    400,974x = 747,585,036,900
  5. Step 5: Solve for x
    x = 747,585,036,900/400,974
  6. Step 6: Final answer
    x = 1,864,422.72

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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.