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Finding the Third Proportional to 3,022,065 and 4,562,203.50

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Solution

The third proportional to 3,022,065 and 4,562,203.50 is: 6,887,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,065 : 4,562,203.50 = 4,562,203.50 : x
  2. Step 2: Convert to fraction form
    3,022,065/4,562,203.50 = 4,562,203.50/x
  3. Step 3: Cross multiply
    3,022,065x = 4,562,203.50 × 4,562,203.50
  4. Step 4: Simplify right side
    3,022,065x = 20,813,700,775,412.25
  5. Step 5: Solve for x
    x = 20,813,700,775,412.25/3,022,065
  6. Step 6: Final answer
    x = 6,887,244.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.