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Finding the Third Proportional to 2,048,550 and 2,718,369

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Solution

The third proportional to 2,048,550 and 2,718,369 is: 3,607,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,550 : 2,718,369 = 2,718,369 : x
  2. Step 2: Convert to fraction form
    2,048,550/2,718,369 = 2,718,369/x
  3. Step 3: Cross multiply
    2,048,550x = 2,718,369 × 2,718,369
  4. Step 4: Simplify right side
    2,048,550x = 7,389,530,020,161
  5. Step 5: Solve for x
    x = 7,389,530,020,161/2,048,550
  6. Step 6: Final answer
    x = 3,607,200.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.