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Finding the Third Proportional to 2,239,102 and 4,797,641

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Solution

The third proportional to 2,239,102 and 4,797,641 is: 10,279,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239,102 : 4,797,641 = 4,797,641 : x
  2. Step 2: Convert to fraction form
    2,239,102/4,797,641 = 4,797,641/x
  3. Step 3: Cross multiply
    2,239,102x = 4,797,641 × 4,797,641
  4. Step 4: Simplify right side
    2,239,102x = 23,017,359,164,881
  5. Step 5: Solve for x
    x = 23,017,359,164,881/2,239,102
  6. Step 6: Final answer
    x = 10,279,727.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.