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Finding the Third Proportional to 1,031,945 and 2,188,774

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Solution

The third proportional to 1,031,945 and 2,188,774 is: 4,642,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,945 : 2,188,774 = 2,188,774 : x
  2. Step 2: Convert to fraction form
    1,031,945/2,188,774 = 2,188,774/x
  3. Step 3: Cross multiply
    1,031,945x = 2,188,774 × 2,188,774
  4. Step 4: Simplify right side
    1,031,945x = 4,790,731,623,076
  5. Step 5: Solve for x
    x = 4,790,731,623,076/1,031,945
  6. Step 6: Final answer
    x = 4,642,429.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.