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Finding the Third Proportional to 640,434 and 1,379,829

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Solution

The third proportional to 640,434 and 1,379,829 is: 2,972,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,434 : 1,379,829 = 1,379,829 : x
  2. Step 2: Convert to fraction form
    640,434/1,379,829 = 1,379,829/x
  3. Step 3: Cross multiply
    640,434x = 1,379,829 × 1,379,829
  4. Step 4: Simplify right side
    640,434x = 1,903,928,069,241
  5. Step 5: Solve for x
    x = 1,903,928,069,241/640,434
  6. Step 6: Final answer
    x = 2,972,871.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.