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Finding the Third Proportional to 4,051,025 and 6,211,842

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Solution

The third proportional to 4,051,025 and 6,211,842 is: 9,525,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,025 : 6,211,842 = 6,211,842 : x
  2. Step 2: Convert to fraction form
    4,051,025/6,211,842 = 6,211,842/x
  3. Step 3: Cross multiply
    4,051,025x = 6,211,842 × 6,211,842
  4. Step 4: Simplify right side
    4,051,025x = 38,586,981,032,964
  5. Step 5: Solve for x
    x = 38,586,981,032,964/4,051,025
  6. Step 6: Final answer
    x = 9,525,238.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.