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Finding the Third Proportional to 1,429,374 and 3,142,149

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Solution

The third proportional to 1,429,374 and 3,142,149 is: 6,907,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,374 : 3,142,149 = 3,142,149 : x
  2. Step 2: Convert to fraction form
    1,429,374/3,142,149 = 3,142,149/x
  3. Step 3: Cross multiply
    1,429,374x = 3,142,149 × 3,142,149
  4. Step 4: Simplify right side
    1,429,374x = 9,873,100,338,201
  5. Step 5: Solve for x
    x = 9,873,100,338,201/1,429,374
  6. Step 6: Final answer
    x = 6,907,289.72

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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.