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Finding the Third Proportional to 1,289,106 and 2,835,972

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Solution

The third proportional to 1,289,106 and 2,835,972 is: 6,239,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,106 : 2,835,972 = 2,835,972 : x
  2. Step 2: Convert to fraction form
    1,289,106/2,835,972 = 2,835,972/x
  3. Step 3: Cross multiply
    1,289,106x = 2,835,972 × 2,835,972
  4. Step 4: Simplify right side
    1,289,106x = 8,042,737,184,784
  5. Step 5: Solve for x
    x = 8,042,737,184,784/1,289,106
  6. Step 6: Final answer
    x = 6,239,003.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.