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Finding the Third Proportional to 758,196 and 1,655,325

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Solution

The third proportional to 758,196 and 1,655,325 is: 3,613,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,196 : 1,655,325 = 1,655,325 : x
  2. Step 2: Convert to fraction form
    758,196/1,655,325 = 1,655,325/x
  3. Step 3: Cross multiply
    758,196x = 1,655,325 × 1,655,325
  4. Step 4: Simplify right side
    758,196x = 2,740,100,855,625
  5. Step 5: Solve for x
    x = 2,740,100,855,625/758,196
  6. Step 6: Final answer
    x = 3,613,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.