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Finding the Third Proportional to 943,690 and 2,053,266

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Solution

The third proportional to 943,690 and 2,053,266 is: 4,467,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,690 : 2,053,266 = 2,053,266 : x
  2. Step 2: Convert to fraction form
    943,690/2,053,266 = 2,053,266/x
  3. Step 3: Cross multiply
    943,690x = 2,053,266 × 2,053,266
  4. Step 4: Simplify right side
    943,690x = 4,215,901,266,756
  5. Step 5: Solve for x
    x = 4,215,901,266,756/943,690
  6. Step 6: Final answer
    x = 4,467,464.17

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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.