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Finding the Third Proportional to 794,642 and 1,740,448

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Solution

The third proportional to 794,642 and 1,740,448 is: 3,811,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,642 : 1,740,448 = 1,740,448 : x
  2. Step 2: Convert to fraction form
    794,642/1,740,448 = 1,740,448/x
  3. Step 3: Cross multiply
    794,642x = 1,740,448 × 1,740,448
  4. Step 4: Simplify right side
    794,642x = 3,029,159,240,704
  5. Step 5: Solve for x
    x = 3,029,159,240,704/794,642
  6. Step 6: Final answer
    x = 3,811,979.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.