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Finding the Third Proportional to 643,074 and 946,026

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Solution

The third proportional to 643,074 and 946,026 is: 1,391,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,074 : 946,026 = 946,026 : x
  2. Step 2: Convert to fraction form
    643,074/946,026 = 946,026/x
  3. Step 3: Cross multiply
    643,074x = 946,026 × 946,026
  4. Step 4: Simplify right side
    643,074x = 894,965,192,676
  5. Step 5: Solve for x
    x = 894,965,192,676/643,074
  6. Step 6: Final answer
    x = 1,391,698.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.