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Finding the Third Proportional to 839,904 and 1,814,592

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Solution

The third proportional to 839,904 and 1,814,592 is: 3,920,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,904 : 1,814,592 = 1,814,592 : x
  2. Step 2: Convert to fraction form
    839,904/1,814,592 = 1,814,592/x
  3. Step 3: Cross multiply
    839,904x = 1,814,592 × 1,814,592
  4. Step 4: Simplify right side
    839,904x = 3,292,744,126,464
  5. Step 5: Solve for x
    x = 3,292,744,126,464/839,904
  6. Step 6: Final answer
    x = 3,920,381.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.