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Finding the Third Proportional to 2,138,055.75 and 4,754,214

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Solution

The third proportional to 2,138,055.75 and 4,754,214 is: 10,571,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,055.75 : 4,754,214 = 4,754,214 : x
  2. Step 2: Convert to fraction form
    2,138,055.75/4,754,214 = 4,754,214/x
  3. Step 3: Cross multiply
    2,138,055.75x = 4,754,214 × 4,754,214
  4. Step 4: Simplify right side
    2,138,055.75x = 22,602,550,757,796
  5. Step 5: Solve for x
    x = 22,602,550,757,796/2,138,055.75
  6. Step 6: Final answer
    x = 10,571,544.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.