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Finding the Third Proportional to 4,591,345.50 and 6,863,028.75

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Solution

The third proportional to 4,591,345.50 and 6,863,028.75 is: 10,258,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,345.50 : 6,863,028.75 = 6,863,028.75 : x
  2. Step 2: Convert to fraction form
    4,591,345.50/6,863,028.75 = 6,863,028.75/x
  3. Step 3: Cross multiply
    4,591,345.50x = 6,863,028.75 × 6,863,028.75
  4. Step 4: Simplify right side
    4,591,345.50x = 47,101,163,623,326.56
  5. Step 5: Solve for x
    x = 47,101,163,623,326.56/4,591,345.50
  6. Step 6: Final answer
    x = 10,258,684.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.