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Finding the Third Proportional to 3,052,176.50 and 4,723,862.50

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Solution

The third proportional to 3,052,176.50 and 4,723,862.50 is: 7,311,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,176.50 : 4,723,862.50 = 4,723,862.50 : x
  2. Step 2: Convert to fraction form
    3,052,176.50/4,723,862.50 = 4,723,862.50/x
  3. Step 3: Cross multiply
    3,052,176.50x = 4,723,862.50 × 4,723,862.50
  4. Step 4: Simplify right side
    3,052,176.50x = 22,314,876,918,906.25
  5. Step 5: Solve for x
    x = 22,314,876,918,906.25/3,052,176.50
  6. Step 6: Final answer
    x = 7,311,135.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.