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Finding the Third Proportional to 4,260,048 and 6,434,424

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Solution

The third proportional to 4,260,048 and 6,434,424 is: 9,718,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260,048 : 6,434,424 = 6,434,424 : x
  2. Step 2: Convert to fraction form
    4,260,048/6,434,424 = 6,434,424/x
  3. Step 3: Cross multiply
    4,260,048x = 6,434,424 × 6,434,424
  4. Step 4: Simplify right side
    4,260,048x = 41,401,812,211,776
  5. Step 5: Solve for x
    x = 41,401,812,211,776/4,260,048
  6. Step 6: Final answer
    x = 9,718,625.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.