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Finding the Third Proportional to 824,415 and 1,816,552

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Solution

The third proportional to 824,415 and 1,816,552 is: 4,002,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,415 : 1,816,552 = 1,816,552 : x
  2. Step 2: Convert to fraction form
    824,415/1,816,552 = 1,816,552/x
  3. Step 3: Cross multiply
    824,415x = 1,816,552 × 1,816,552
  4. Step 4: Simplify right side
    824,415x = 3,299,861,168,704
  5. Step 5: Solve for x
    x = 3,299,861,168,704/824,415
  6. Step 6: Final answer
    x = 4,002,669.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.