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Finding the Third Proportional to 2,023,239 and 4,233,527

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Solution

The third proportional to 2,023,239 and 4,233,527 is: 8,858,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,239 : 4,233,527 = 4,233,527 : x
  2. Step 2: Convert to fraction form
    2,023,239/4,233,527 = 4,233,527/x
  3. Step 3: Cross multiply
    2,023,239x = 4,233,527 × 4,233,527
  4. Step 4: Simplify right side
    2,023,239x = 17,922,750,859,729
  5. Step 5: Solve for x
    x = 17,922,750,859,729/2,023,239
  6. Step 6: Final answer
    x = 8,858,444.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.