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Finding the Third Proportional to 2,765,008 and 4,231,711.50

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Solution

The third proportional to 2,765,008 and 4,231,711.50 is: 6,476,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,008 : 4,231,711.50 = 4,231,711.50 : x
  2. Step 2: Convert to fraction form
    2,765,008/4,231,711.50 = 4,231,711.50/x
  3. Step 3: Cross multiply
    2,765,008x = 4,231,711.50 × 4,231,711.50
  4. Step 4: Simplify right side
    2,765,008x = 17,907,382,219,232.25
  5. Step 5: Solve for x
    x = 17,907,382,219,232.25/2,765,008
  6. Step 6: Final answer
    x = 6,476,430.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.