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Finding the Third Proportional to 824,415 and 1,808,238

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Solution

The third proportional to 824,415 and 1,808,238 is: 3,966,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,415 : 1,808,238 = 1,808,238 : x
  2. Step 2: Convert to fraction form
    824,415/1,808,238 = 1,808,238/x
  3. Step 3: Cross multiply
    824,415x = 1,808,238 × 1,808,238
  4. Step 4: Simplify right side
    824,415x = 3,269,724,664,644
  5. Step 5: Solve for x
    x = 3,269,724,664,644/824,415
  6. Step 6: Final answer
    x = 3,966,114.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.