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Finding the Third Proportional to 919,642 and 1,418,827

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Solution

The third proportional to 919,642 and 1,418,827 is: 2,188,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,642 : 1,418,827 = 1,418,827 : x
  2. Step 2: Convert to fraction form
    919,642/1,418,827 = 1,418,827/x
  3. Step 3: Cross multiply
    919,642x = 1,418,827 × 1,418,827
  4. Step 4: Simplify right side
    919,642x = 2,013,070,055,929
  5. Step 5: Solve for x
    x = 2,013,070,055,929/919,642
  6. Step 6: Final answer
    x = 2,188,971.42

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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.