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Finding the Third Proportional to 759,599 and 1,664,134

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Solution

The third proportional to 759,599 and 1,664,134 is: 3,645,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,599 : 1,664,134 = 1,664,134 : x
  2. Step 2: Convert to fraction form
    759,599/1,664,134 = 1,664,134/x
  3. Step 3: Cross multiply
    759,599x = 1,664,134 × 1,664,134
  4. Step 4: Simplify right side
    759,599x = 2,769,341,969,956
  5. Step 5: Solve for x
    x = 2,769,341,969,956/759,599
  6. Step 6: Final answer
    x = 3,645,794.65

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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.