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Finding the Third Proportional to 1,031,994.84 and 1,517,659.03

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Solution

The third proportional to 1,031,994.84 and 1,517,659.03 is: 2,231,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,994.84 : 1,517,659.03 = 1,517,659.03 : x
  2. Step 2: Convert to fraction form
    1,031,994.84/1,517,659.03 = 1,517,659.03/x
  3. Step 3: Cross multiply
    1,031,994.84x = 1,517,659.03 × 1,517,659.03
  4. Step 4: Simplify right side
    1,031,994.84x = 2,303,288,935,134.69
  5. Step 5: Solve for x
    x = 2,303,288,935,134.69/1,031,994.84
  6. Step 6: Final answer
    x = 2,231,880.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.