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Finding the Third Proportional to 2,254,608.84 and 4,828,451.34

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Solution

The third proportional to 2,254,608.84 and 4,828,451.34 is: 10,340,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,608.84 : 4,828,451.34 = 4,828,451.34 : x
  2. Step 2: Convert to fraction form
    2,254,608.84/4,828,451.34 = 4,828,451.34/x
  3. Step 3: Cross multiply
    2,254,608.84x = 4,828,451.34 × 4,828,451.34
  4. Step 4: Simplify right side
    2,254,608.84x = 23,313,942,378,961.18
  5. Step 5: Solve for x
    x = 23,313,942,378,961.18/2,254,608.84
  6. Step 6: Final answer
    x = 10,340,570.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.