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Finding the Third Proportional to 3,050,823 and 4,138,719

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Solution

The third proportional to 3,050,823 and 4,138,719 is: 5,614,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050,823 : 4,138,719 = 4,138,719 : x
  2. Step 2: Convert to fraction form
    3,050,823/4,138,719 = 4,138,719/x
  3. Step 3: Cross multiply
    3,050,823x = 4,138,719 × 4,138,719
  4. Step 4: Simplify right side
    3,050,823x = 17,128,994,960,961
  5. Step 5: Solve for x
    x = 17,128,994,960,961/3,050,823
  6. Step 6: Final answer
    x = 5,614,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.