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Finding the Third Proportional to 840,324 and 1,843,908

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Solution

The third proportional to 840,324 and 1,843,908 is: 4,046,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,324 : 1,843,908 = 1,843,908 : x
  2. Step 2: Convert to fraction form
    840,324/1,843,908 = 1,843,908/x
  3. Step 3: Cross multiply
    840,324x = 1,843,908 × 1,843,908
  4. Step 4: Simplify right side
    840,324x = 3,399,996,712,464
  5. Step 5: Solve for x
    x = 3,399,996,712,464/840,324
  6. Step 6: Final answer
    x = 4,046,054.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.