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Finding the Third Proportional to 1,001,442.50 and 2,226,782

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Solution

The third proportional to 1,001,442.50 and 2,226,782 is: 4,951,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,442.50 : 2,226,782 = 2,226,782 : x
  2. Step 2: Convert to fraction form
    1,001,442.50/2,226,782 = 2,226,782/x
  3. Step 3: Cross multiply
    1,001,442.50x = 2,226,782 × 2,226,782
  4. Step 4: Simplify right side
    1,001,442.50x = 4,958,558,075,524
  5. Step 5: Solve for x
    x = 4,958,558,075,524/1,001,442.50
  6. Step 6: Final answer
    x = 4,951,415.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.