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Finding the Third Proportional to 2,467,446 and 3,680,632

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Solution

The third proportional to 2,467,446 and 3,680,632 is: 5,490,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,446 : 3,680,632 = 3,680,632 : x
  2. Step 2: Convert to fraction form
    2,467,446/3,680,632 = 3,680,632/x
  3. Step 3: Cross multiply
    2,467,446x = 3,680,632 × 3,680,632
  4. Step 4: Simplify right side
    2,467,446x = 13,547,051,919,424
  5. Step 5: Solve for x
    x = 13,547,051,919,424/2,467,446
  6. Step 6: Final answer
    x = 5,490,313.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.