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Finding the Third Proportional to 2,508,784 and 3,822,168

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Solution

The third proportional to 2,508,784 and 3,822,168 is: 5,823,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508,784 : 3,822,168 = 3,822,168 : x
  2. Step 2: Convert to fraction form
    2,508,784/3,822,168 = 3,822,168/x
  3. Step 3: Cross multiply
    2,508,784x = 3,822,168 × 3,822,168
  4. Step 4: Simplify right side
    2,508,784x = 14,608,968,220,224
  5. Step 5: Solve for x
    x = 14,608,968,220,224/2,508,784
  6. Step 6: Final answer
    x = 5,823,127.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.