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Finding the Third Proportional to 2,602,395 and 5,639,166

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Solution

The third proportional to 2,602,395 and 5,639,166 is: 12,219,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,395 : 5,639,166 = 5,639,166 : x
  2. Step 2: Convert to fraction form
    2,602,395/5,639,166 = 5,639,166/x
  3. Step 3: Cross multiply
    2,602,395x = 5,639,166 × 5,639,166
  4. Step 4: Simplify right side
    2,602,395x = 31,800,193,175,556
  5. Step 5: Solve for x
    x = 31,800,193,175,556/2,602,395
  6. Step 6: Final answer
    x = 12,219,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.