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Finding the Third Proportional to 4,244,738 and 6,582,339

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Solution

The third proportional to 4,244,738 and 6,582,339 is: 10,207,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244,738 : 6,582,339 = 6,582,339 : x
  2. Step 2: Convert to fraction form
    4,244,738/6,582,339 = 6,582,339/x
  3. Step 3: Cross multiply
    4,244,738x = 6,582,339 × 6,582,339
  4. Step 4: Simplify right side
    4,244,738x = 43,327,186,710,921
  5. Step 5: Solve for x
    x = 43,327,186,710,921/4,244,738
  6. Step 6: Final answer
    x = 10,207,269.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.