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Finding the Third Proportional to 1,065,609 and 2,229,714

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Solution

The third proportional to 1,065,609 and 2,229,714 is: 4,665,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,609 : 2,229,714 = 2,229,714 : x
  2. Step 2: Convert to fraction form
    1,065,609/2,229,714 = 2,229,714/x
  3. Step 3: Cross multiply
    1,065,609x = 2,229,714 × 2,229,714
  4. Step 4: Simplify right side
    1,065,609x = 4,971,624,521,796
  5. Step 5: Solve for x
    x = 4,971,624,521,796/1,065,609
  6. Step 6: Final answer
    x = 4,665,524.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.