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Finding the Third Proportional to 565,784 and 1,236,544

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Solution

The third proportional to 565,784 and 1,236,544 is: 2,702,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,784 : 1,236,544 = 1,236,544 : x
  2. Step 2: Convert to fraction form
    565,784/1,236,544 = 1,236,544/x
  3. Step 3: Cross multiply
    565,784x = 1,236,544 × 1,236,544
  4. Step 4: Simplify right side
    565,784x = 1,529,041,063,936
  5. Step 5: Solve for x
    x = 1,529,041,063,936/565,784
  6. Step 6: Final answer
    x = 2,702,517.33

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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.