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Finding the Third Proportional to 1,269,156 and 2,769,828

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Solution

The third proportional to 1,269,156 and 2,769,828 is: 6,044,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,156 : 2,769,828 = 2,769,828 : x
  2. Step 2: Convert to fraction form
    1,269,156/2,769,828 = 2,769,828/x
  3. Step 3: Cross multiply
    1,269,156x = 2,769,828 × 2,769,828
  4. Step 4: Simplify right side
    1,269,156x = 7,671,947,149,584
  5. Step 5: Solve for x
    x = 7,671,947,149,584/1,269,156
  6. Step 6: Final answer
    x = 6,044,920.52

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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.