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Finding the Third Proportional to 964,163 and 1,840,846

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Solution

The third proportional to 964,163 and 1,840,846 is: 3,514,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,163 : 1,840,846 = 1,840,846 : x
  2. Step 2: Convert to fraction form
    964,163/1,840,846 = 1,840,846/x
  3. Step 3: Cross multiply
    964,163x = 1,840,846 × 1,840,846
  4. Step 4: Simplify right side
    964,163x = 3,388,713,995,716
  5. Step 5: Solve for x
    x = 3,388,713,995,716/964,163
  6. Step 6: Final answer
    x = 3,514,669.20

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.