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Finding the Third Proportional to 1,269,138.38 and 2,769,784.88

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Solution

The third proportional to 1,269,138.38 and 2,769,784.88 is: 6,044,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,138.38 : 2,769,784.88 = 2,769,784.88 : x
  2. Step 2: Convert to fraction form
    1,269,138.38/2,769,784.88 = 2,769,784.88/x
  3. Step 3: Cross multiply
    1,269,138.38x = 2,769,784.88 × 2,769,784.88
  4. Step 4: Simplify right side
    1,269,138.38x = 7,671,708,253,778.77
  5. Step 5: Solve for x
    x = 7,671,708,253,778.77/1,269,138.38
  6. Step 6: Final answer
    x = 6,044,816.24

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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.