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Finding the Third Proportional to 2,521,384.50 and 3,773,166

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Solution

The third proportional to 2,521,384.50 and 3,773,166 is: 5,646,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521,384.50 : 3,773,166 = 3,773,166 : x
  2. Step 2: Convert to fraction form
    2,521,384.50/3,773,166 = 3,773,166/x
  3. Step 3: Cross multiply
    2,521,384.50x = 3,773,166 × 3,773,166
  4. Step 4: Simplify right side
    2,521,384.50x = 14,236,781,663,556
  5. Step 5: Solve for x
    x = 14,236,781,663,556/2,521,384.50
  6. Step 6: Final answer
    x = 5,646,414.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.