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Finding the Third Proportional to 604,314 and 1,270,836

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Solution

The third proportional to 604,314 and 1,270,836 is: 2,672,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,314 : 1,270,836 = 1,270,836 : x
  2. Step 2: Convert to fraction form
    604,314/1,270,836 = 1,270,836/x
  3. Step 3: Cross multiply
    604,314x = 1,270,836 × 1,270,836
  4. Step 4: Simplify right side
    604,314x = 1,615,024,138,896
  5. Step 5: Solve for x
    x = 1,615,024,138,896/604,314
  6. Step 6: Final answer
    x = 2,672,491.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.