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Finding the Third Proportional to 1,417,914 and 2,179,443

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Solution

The third proportional to 1,417,914 and 2,179,443 is: 3,349,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,914 : 2,179,443 = 2,179,443 : x
  2. Step 2: Convert to fraction form
    1,417,914/2,179,443 = 2,179,443/x
  3. Step 3: Cross multiply
    1,417,914x = 2,179,443 × 2,179,443
  4. Step 4: Simplify right side
    1,417,914x = 4,749,971,790,249
  5. Step 5: Solve for x
    x = 4,749,971,790,249/1,417,914
  6. Step 6: Final answer
    x = 3,349,971.71

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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.