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Finding the Third Proportional to 708,831 and 1,535,760

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Solution

The third proportional to 708,831 and 1,535,760 is: 3,327,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,831 : 1,535,760 = 1,535,760 : x
  2. Step 2: Convert to fraction form
    708,831/1,535,760 = 1,535,760/x
  3. Step 3: Cross multiply
    708,831x = 1,535,760 × 1,535,760
  4. Step 4: Simplify right side
    708,831x = 2,358,558,777,600
  5. Step 5: Solve for x
    x = 2,358,558,777,600/708,831
  6. Step 6: Final answer
    x = 3,327,392.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.