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Finding the Third Proportional to 864,828 and 1,841,908

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Solution

The third proportional to 864,828 and 1,841,908 is: 3,922,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,828 : 1,841,908 = 1,841,908 : x
  2. Step 2: Convert to fraction form
    864,828/1,841,908 = 1,841,908/x
  3. Step 3: Cross multiply
    864,828x = 1,841,908 × 1,841,908
  4. Step 4: Simplify right side
    864,828x = 3,392,625,080,464
  5. Step 5: Solve for x
    x = 3,392,625,080,464/864,828
  6. Step 6: Final answer
    x = 3,922,889.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.