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Finding the Third Proportional to 869,759 and 1,316,668

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Solution

The third proportional to 869,759 and 1,316,668 is: 1,993,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,759 : 1,316,668 = 1,316,668 : x
  2. Step 2: Convert to fraction form
    869,759/1,316,668 = 1,316,668/x
  3. Step 3: Cross multiply
    869,759x = 1,316,668 × 1,316,668
  4. Step 4: Simplify right side
    869,759x = 1,733,614,622,224
  5. Step 5: Solve for x
    x = 1,733,614,622,224/869,759
  6. Step 6: Final answer
    x = 1,993,212.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.