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Finding the Third Proportional to 2,210,035 and 4,760,135

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Solution

The third proportional to 2,210,035 and 4,760,135 is: 10,252,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,035 : 4,760,135 = 4,760,135 : x
  2. Step 2: Convert to fraction form
    2,210,035/4,760,135 = 4,760,135/x
  3. Step 3: Cross multiply
    2,210,035x = 4,760,135 × 4,760,135
  4. Step 4: Simplify right side
    2,210,035x = 22,658,885,218,225
  5. Step 5: Solve for x
    x = 22,658,885,218,225/2,210,035
  6. Step 6: Final answer
    x = 10,252,726.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.