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Finding the Third Proportional to 565,512 and 1,196,472

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Solution

The third proportional to 565,512 and 1,196,472 is: 2,531,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512 : 1,196,472 = 1,196,472 : x
  2. Step 2: Convert to fraction form
    565,512/1,196,472 = 1,196,472/x
  3. Step 3: Cross multiply
    565,512x = 1,196,472 × 1,196,472
  4. Step 4: Simplify right side
    565,512x = 1,431,545,246,784
  5. Step 5: Solve for x
    x = 1,431,545,246,784/565,512
  6. Step 6: Final answer
    x = 2,531,414.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.