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Finding the Third Proportional to 770,160.75 and 1,717,406.25

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Solution

The third proportional to 770,160.75 and 1,717,406.25 is: 3,829,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,160.75 : 1,717,406.25 = 1,717,406.25 : x
  2. Step 2: Convert to fraction form
    770,160.75/1,717,406.25 = 1,717,406.25/x
  3. Step 3: Cross multiply
    770,160.75x = 1,717,406.25 × 1,717,406.25
  4. Step 4: Simplify right side
    770,160.75x = 2,949,484,227,539.06
  5. Step 5: Solve for x
    x = 2,949,484,227,539.06/770,160.75
  6. Step 6: Final answer
    x = 3,829,699.48

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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.