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Finding the Third Proportional to 758,163 and 1,649,184

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Solution

The third proportional to 758,163 and 1,649,184 is: 3,587,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,163 : 1,649,184 = 1,649,184 : x
  2. Step 2: Convert to fraction form
    758,163/1,649,184 = 1,649,184/x
  3. Step 3: Cross multiply
    758,163x = 1,649,184 × 1,649,184
  4. Step 4: Simplify right side
    758,163x = 2,719,807,865,856
  5. Step 5: Solve for x
    x = 2,719,807,865,856/758,163
  6. Step 6: Final answer
    x = 3,587,365.60

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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.