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Finding the Third Proportional to 631,412 and 1,122,577

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Solution

The third proportional to 631,412 and 1,122,577 is: 1,995,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,412 : 1,122,577 = 1,122,577 : x
  2. Step 2: Convert to fraction form
    631,412/1,122,577 = 1,122,577/x
  3. Step 3: Cross multiply
    631,412x = 1,122,577 × 1,122,577
  4. Step 4: Simplify right side
    631,412x = 1,260,179,120,929
  5. Step 5: Solve for x
    x = 1,260,179,120,929/631,412
  6. Step 6: Final answer
    x = 1,995,811.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.