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Finding the Third Proportional to 2,197,935 and 3,292,710.75

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Solution

The third proportional to 2,197,935 and 3,292,710.75 is: 4,932,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,935 : 3,292,710.75 = 3,292,710.75 : x
  2. Step 2: Convert to fraction form
    2,197,935/3,292,710.75 = 3,292,710.75/x
  3. Step 3: Cross multiply
    2,197,935x = 3,292,710.75 × 3,292,710.75
  4. Step 4: Simplify right side
    2,197,935x = 10,841,944,083,165.56
  5. Step 5: Solve for x
    x = 10,841,944,083,165.56/2,197,935
  6. Step 6: Final answer
    x = 4,932,786.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.