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Finding the Third Proportional to 2,146,135.50 and 4,665,015

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Solution

The third proportional to 2,146,135.50 and 4,665,015 is: 10,140,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,135.50 : 4,665,015 = 4,665,015 : x
  2. Step 2: Convert to fraction form
    2,146,135.50/4,665,015 = 4,665,015/x
  3. Step 3: Cross multiply
    2,146,135.50x = 4,665,015 × 4,665,015
  4. Step 4: Simplify right side
    2,146,135.50x = 21,762,364,950,225
  5. Step 5: Solve for x
    x = 21,762,364,950,225/2,146,135.50
  6. Step 6: Final answer
    x = 10,140,256.73

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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.