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Finding the Third Proportional to 785,463 and 1,208,812

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Solution

The third proportional to 785,463 and 1,208,812 is: 1,860,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,463 : 1,208,812 = 1,208,812 : x
  2. Step 2: Convert to fraction form
    785,463/1,208,812 = 1,208,812/x
  3. Step 3: Cross multiply
    785,463x = 1,208,812 × 1,208,812
  4. Step 4: Simplify right side
    785,463x = 1,461,226,451,344
  5. Step 5: Solve for x
    x = 1,461,226,451,344/785,463
  6. Step 6: Final answer
    x = 1,860,337.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.