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Finding the Third Proportional to 2,008,297.50 and 4,415,126.25

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Solution

The third proportional to 2,008,297.50 and 4,415,126.25 is: 9,706,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,297.50 : 4,415,126.25 = 4,415,126.25 : x
  2. Step 2: Convert to fraction form
    2,008,297.50/4,415,126.25 = 4,415,126.25/x
  3. Step 3: Cross multiply
    2,008,297.50x = 4,415,126.25 × 4,415,126.25
  4. Step 4: Simplify right side
    2,008,297.50x = 19,493,339,803,439.06
  5. Step 5: Solve for x
    x = 19,493,339,803,439.06/2,008,297.50
  6. Step 6: Final answer
    x = 9,706,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.