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Finding the Third Proportional to 1,691,615.95 and 3,947,240.11

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Solution

The third proportional to 1,691,615.95 and 3,947,240.11 is: 9,210,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,615.95 : 3,947,240.11 = 3,947,240.11 : x
  2. Step 2: Convert to fraction form
    1,691,615.95/3,947,240.11 = 3,947,240.11/x
  3. Step 3: Cross multiply
    1,691,615.95x = 3,947,240.11 × 3,947,240.11
  4. Step 4: Simplify right side
    1,691,615.95x = 15,580,704,481,058.76
  5. Step 5: Solve for x
    x = 15,580,704,481,058.76/1,691,615.95
  6. Step 6: Final answer
    x = 9,210,544.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.