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Finding the Third Proportional to 2,029,311 and 4,226,535

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Solution

The third proportional to 2,029,311 and 4,226,535 is: 8,802,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,311 : 4,226,535 = 4,226,535 : x
  2. Step 2: Convert to fraction form
    2,029,311/4,226,535 = 4,226,535/x
  3. Step 3: Cross multiply
    2,029,311x = 4,226,535 × 4,226,535
  4. Step 4: Simplify right side
    2,029,311x = 17,863,598,106,225
  5. Step 5: Solve for x
    x = 17,863,598,106,225/2,029,311
  6. Step 6: Final answer
    x = 8,802,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.