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Finding the Third Proportional to 565,446 and 1,237,836

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Solution

The third proportional to 565,446 and 1,237,836 is: 2,709,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,446 : 1,237,836 = 1,237,836 : x
  2. Step 2: Convert to fraction form
    565,446/1,237,836 = 1,237,836/x
  3. Step 3: Cross multiply
    565,446x = 1,237,836 × 1,237,836
  4. Step 4: Simplify right side
    565,446x = 1,532,237,962,896
  5. Step 5: Solve for x
    x = 1,532,237,962,896/565,446
  6. Step 6: Final answer
    x = 2,709,786.55

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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.