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Finding the Third Proportional to 758,031.75 and 1,658,493

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Solution

The third proportional to 758,031.75 and 1,658,493 is: 3,628,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,031.75 : 1,658,493 = 1,658,493 : x
  2. Step 2: Convert to fraction form
    758,031.75/1,658,493 = 1,658,493/x
  3. Step 3: Cross multiply
    758,031.75x = 1,658,493 × 1,658,493
  4. Step 4: Simplify right side
    758,031.75x = 2,750,599,031,049
  5. Step 5: Solve for x
    x = 2,750,599,031,049/758,031.75
  6. Step 6: Final answer
    x = 3,628,606.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.