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Finding the Third Proportional to 633,581 and 1,378,699

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Solution

The third proportional to 633,581 and 1,378,699 is: 3,000,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,581 : 1,378,699 = 1,378,699 : x
  2. Step 2: Convert to fraction form
    633,581/1,378,699 = 1,378,699/x
  3. Step 3: Cross multiply
    633,581x = 1,378,699 × 1,378,699
  4. Step 4: Simplify right side
    633,581x = 1,900,810,932,601
  5. Step 5: Solve for x
    x = 1,900,810,932,601/633,581
  6. Step 6: Final answer
    x = 3,000,107.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.