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Finding the Third Proportional to 1,177,582 and 1,812,544

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Solution

The third proportional to 1,177,582 and 1,812,544 is: 2,789,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,582 : 1,812,544 = 1,812,544 : x
  2. Step 2: Convert to fraction form
    1,177,582/1,812,544 = 1,812,544/x
  3. Step 3: Cross multiply
    1,177,582x = 1,812,544 × 1,812,544
  4. Step 4: Simplify right side
    1,177,582x = 3,285,315,751,936
  5. Step 5: Solve for x
    x = 3,285,315,751,936/1,177,582
  6. Step 6: Final answer
    x = 2,789,882.79

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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.