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Finding the Third Proportional to 2,765,013 and 4,231,717.50

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Solution

The third proportional to 2,765,013 and 4,231,717.50 is: 6,476,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,013 : 4,231,717.50 = 4,231,717.50 : x
  2. Step 2: Convert to fraction form
    2,765,013/4,231,717.50 = 4,231,717.50/x
  3. Step 3: Cross multiply
    2,765,013x = 4,231,717.50 × 4,231,717.50
  4. Step 4: Simplify right side
    2,765,013x = 17,907,432,999,806.25
  5. Step 5: Solve for x
    x = 17,907,432,999,806.25/2,765,013
  6. Step 6: Final answer
    x = 6,476,437.18

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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.