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Finding the Third Proportional to 842,433 and 1,817,718

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Solution

The third proportional to 842,433 and 1,817,718 is: 3,922,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,433 : 1,817,718 = 1,817,718 : x
  2. Step 2: Convert to fraction form
    842,433/1,817,718 = 1,817,718/x
  3. Step 3: Cross multiply
    842,433x = 1,817,718 × 1,817,718
  4. Step 4: Simplify right side
    842,433x = 3,304,098,727,524
  5. Step 5: Solve for x
    x = 3,304,098,727,524/842,433
  6. Step 6: Final answer
    x = 3,922,090.81

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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.