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Finding the Third Proportional to 1,947,325.88 and 4,507,705.69

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Solution

The third proportional to 1,947,325.88 and 4,507,705.69 is: 10,434,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,325.88 : 4,507,705.69 = 4,507,705.69 : x
  2. Step 2: Convert to fraction form
    1,947,325.88/4,507,705.69 = 4,507,705.69/x
  3. Step 3: Cross multiply
    1,947,325.88x = 4,507,705.69 × 4,507,705.69
  4. Step 4: Simplify right side
    1,947,325.88x = 20,319,410,565,119.85
  5. Step 5: Solve for x
    x = 20,319,410,565,119.85/1,947,325.88
  6. Step 6: Final answer
    x = 10,434,519.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.