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Finding the Third Proportional to 2,869,840 and 6,244,102

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Solution

The third proportional to 2,869,840 and 6,244,102 is: 13,585,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,840 : 6,244,102 = 6,244,102 : x
  2. Step 2: Convert to fraction form
    2,869,840/6,244,102 = 6,244,102/x
  3. Step 3: Cross multiply
    2,869,840x = 6,244,102 × 6,244,102
  4. Step 4: Simplify right side
    2,869,840x = 38,988,809,786,404
  5. Step 5: Solve for x
    x = 38,988,809,786,404/2,869,840
  6. Step 6: Final answer
    x = 13,585,708.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.