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Finding the Third Proportional to 1,606,934 and 2,203,461

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Solution

The third proportional to 1,606,934 and 2,203,461 is: 3,021,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,934 : 2,203,461 = 2,203,461 : x
  2. Step 2: Convert to fraction form
    1,606,934/2,203,461 = 2,203,461/x
  3. Step 3: Cross multiply
    1,606,934x = 2,203,461 × 2,203,461
  4. Step 4: Simplify right side
    1,606,934x = 4,855,240,378,521
  5. Step 5: Solve for x
    x = 4,855,240,378,521/1,606,934
  6. Step 6: Final answer
    x = 3,021,431.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.