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Finding the Third Proportional to 513,596 and 1,237,298

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Solution

The third proportional to 513,596 and 1,237,298 is: 2,980,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,596 : 1,237,298 = 1,237,298 : x
  2. Step 2: Convert to fraction form
    513,596/1,237,298 = 1,237,298/x
  3. Step 3: Cross multiply
    513,596x = 1,237,298 × 1,237,298
  4. Step 4: Simplify right side
    513,596x = 1,530,906,340,804
  5. Step 5: Solve for x
    x = 1,530,906,340,804/513,596
  6. Step 6: Final answer
    x = 2,980,759.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.