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Finding the Third Proportional to 700,997.63 and 1,508,608.13

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Solution

The third proportional to 700,997.63 and 1,508,608.13 is: 3,246,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,997.63 : 1,508,608.13 = 1,508,608.13 : x
  2. Step 2: Convert to fraction form
    700,997.63/1,508,608.13 = 1,508,608.13/x
  3. Step 3: Cross multiply
    700,997.63x = 1,508,608.13 × 1,508,608.13
  4. Step 4: Simplify right side
    700,997.63x = 2,275,898,474,816.02
  5. Step 5: Solve for x
    x = 2,275,898,474,816.02/700,997.63
  6. Step 6: Final answer
    x = 3,246,656.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.