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Finding the Third Proportional to 1,051,965 and 2,300,759

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Solution

The third proportional to 1,051,965 and 2,300,759 is: 5,032,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,965 : 2,300,759 = 2,300,759 : x
  2. Step 2: Convert to fraction form
    1,051,965/2,300,759 = 2,300,759/x
  3. Step 3: Cross multiply
    1,051,965x = 2,300,759 × 2,300,759
  4. Step 4: Simplify right side
    1,051,965x = 5,293,491,976,081
  5. Step 5: Solve for x
    x = 5,293,491,976,081/1,051,965
  6. Step 6: Final answer
    x = 5,032,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.