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Finding the Third Proportional to 1,215,225 and 2,617,438

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Solution

The third proportional to 1,215,225 and 2,617,438 is: 5,637,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,225 : 2,617,438 = 2,617,438 : x
  2. Step 2: Convert to fraction form
    1,215,225/2,617,438 = 2,617,438/x
  3. Step 3: Cross multiply
    1,215,225x = 2,617,438 × 2,617,438
  4. Step 4: Simplify right side
    1,215,225x = 6,850,981,683,844
  5. Step 5: Solve for x
    x = 6,850,981,683,844/1,215,225
  6. Step 6: Final answer
    x = 5,637,624.05

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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.