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Finding the Third Proportional to 840,332 and 1,843,924

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Solution

The third proportional to 840,332 and 1,843,924 is: 4,046,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,332 : 1,843,924 = 1,843,924 : x
  2. Step 2: Convert to fraction form
    840,332/1,843,924 = 1,843,924/x
  3. Step 3: Cross multiply
    840,332x = 1,843,924 × 1,843,924
  4. Step 4: Simplify right side
    840,332x = 3,400,055,717,776
  5. Step 5: Solve for x
    x = 3,400,055,717,776/840,332
  6. Step 6: Final answer
    x = 4,046,086.21

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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.