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Finding the Third Proportional to 774,496 and 1,247,728

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Solution

The third proportional to 774,496 and 1,247,728 is: 2,010,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,496 : 1,247,728 = 1,247,728 : x
  2. Step 2: Convert to fraction form
    774,496/1,247,728 = 1,247,728/x
  3. Step 3: Cross multiply
    774,496x = 1,247,728 × 1,247,728
  4. Step 4: Simplify right side
    774,496x = 1,556,825,161,984
  5. Step 5: Solve for x
    x = 1,556,825,161,984/774,496
  6. Step 6: Final answer
    x = 2,010,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.