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Finding the Third Proportional to 770,169.13 and 1,717,424.88

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Solution

The third proportional to 770,169.13 and 1,717,424.88 is: 3,829,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,169.13 : 1,717,424.88 = 1,717,424.88 : x
  2. Step 2: Convert to fraction form
    770,169.13/1,717,424.88 = 1,717,424.88/x
  3. Step 3: Cross multiply
    770,169.13x = 1,717,424.88 × 1,717,424.88
  4. Step 4: Simplify right side
    770,169.13x = 2,949,548,201,268.77
  5. Step 5: Solve for x
    x = 2,949,548,201,268.77/770,169.13
  6. Step 6: Final answer
    x = 3,829,740.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.