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Finding the Third Proportional to 733,042 and 1,615,195

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Solution

The third proportional to 733,042 and 1,615,195 is: 3,558,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,042 : 1,615,195 = 1,615,195 : x
  2. Step 2: Convert to fraction form
    733,042/1,615,195 = 1,615,195/x
  3. Step 3: Cross multiply
    733,042x = 1,615,195 × 1,615,195
  4. Step 4: Simplify right side
    733,042x = 2,608,854,888,025
  5. Step 5: Solve for x
    x = 2,608,854,888,025/733,042
  6. Step 6: Final answer
    x = 3,558,943.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.