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Finding the Third Proportional to 3,052,167.75 and 4,723,848.75

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Solution

The third proportional to 3,052,167.75 and 4,723,848.75 is: 7,311,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,167.75 : 4,723,848.75 = 4,723,848.75 : x
  2. Step 2: Convert to fraction form
    3,052,167.75/4,723,848.75 = 4,723,848.75/x
  3. Step 3: Cross multiply
    3,052,167.75x = 4,723,848.75 × 4,723,848.75
  4. Step 4: Simplify right side
    3,052,167.75x = 22,314,747,012,876.56
  5. Step 5: Solve for x
    x = 22,314,747,012,876.56/3,052,167.75
  6. Step 6: Final answer
    x = 7,311,114.21

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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.