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Finding the Third Proportional to 2,620,214 and 5,726,191

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Solution

The third proportional to 2,620,214 and 5,726,191 is: 12,513,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620,214 : 5,726,191 = 5,726,191 : x
  2. Step 2: Convert to fraction form
    2,620,214/5,726,191 = 5,726,191/x
  3. Step 3: Cross multiply
    2,620,214x = 5,726,191 × 5,726,191
  4. Step 4: Simplify right side
    2,620,214x = 32,789,263,368,481
  5. Step 5: Solve for x
    x = 32,789,263,368,481/2,620,214
  6. Step 6: Final answer
    x = 12,513,963.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.