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Finding the Third Proportional to 3,538,258.50 and 5,301,837

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Solution

The third proportional to 3,538,258.50 and 5,301,837 is: 7,944,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,258.50 : 5,301,837 = 5,301,837 : x
  2. Step 2: Convert to fraction form
    3,538,258.50/5,301,837 = 5,301,837/x
  3. Step 3: Cross multiply
    3,538,258.50x = 5,301,837 × 5,301,837
  4. Step 4: Simplify right side
    3,538,258.50x = 28,109,475,574,569
  5. Step 5: Solve for x
    x = 28,109,475,574,569/3,538,258.50
  6. Step 6: Final answer
    x = 7,944,438.08

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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.