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Finding the Third Proportional to 1,193,031.28 and 2,575,169.72

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Solution

The third proportional to 1,193,031.28 and 2,575,169.72 is: 5,558,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,031.28 : 2,575,169.72 = 2,575,169.72 : x
  2. Step 2: Convert to fraction form
    1,193,031.28/2,575,169.72 = 2,575,169.72/x
  3. Step 3: Cross multiply
    1,193,031.28x = 2,575,169.72 × 2,575,169.72
  4. Step 4: Simplify right side
    1,193,031.28x = 6,631,499,080,366.95
  5. Step 5: Solve for x
    x = 6,631,499,080,366.95/1,193,031.28
  6. Step 6: Final answer
    x = 5,558,529.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.