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Finding the Third Proportional to 1,272,902 and 2,769,972

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Solution

The third proportional to 1,272,902 and 2,769,972 is: 6,027,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,902 : 2,769,972 = 2,769,972 : x
  2. Step 2: Convert to fraction form
    1,272,902/2,769,972 = 2,769,972/x
  3. Step 3: Cross multiply
    1,272,902x = 2,769,972 × 2,769,972
  4. Step 4: Simplify right side
    1,272,902x = 7,672,744,880,784
  5. Step 5: Solve for x
    x = 7,672,744,880,784/1,272,902
  6. Step 6: Final answer
    x = 6,027,757.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.