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Finding the Third Proportional to 701,787 and 1,429,002

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Solution

The third proportional to 701,787 and 1,429,002 is: 2,909,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,787 : 1,429,002 = 1,429,002 : x
  2. Step 2: Convert to fraction form
    701,787/1,429,002 = 1,429,002/x
  3. Step 3: Cross multiply
    701,787x = 1,429,002 × 1,429,002
  4. Step 4: Simplify right side
    701,787x = 2,042,046,716,004
  5. Step 5: Solve for x
    x = 2,042,046,716,004/701,787
  6. Step 6: Final answer
    x = 2,909,781.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.