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Finding the Third Proportional to 869,757.75 and 1,316,667.66

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Solution

The third proportional to 869,757.75 and 1,316,667.66 is: 1,993,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,757.75 : 1,316,667.66 = 1,316,667.66 : x
  2. Step 2: Convert to fraction form
    869,757.75/1,316,667.66 = 1,316,667.66/x
  3. Step 3: Cross multiply
    869,757.75x = 1,316,667.66 × 1,316,667.66
  4. Step 4: Simplify right side
    869,757.75x = 1,733,613,717,014.87
  5. Step 5: Solve for x
    x = 1,733,613,717,014.87/869,757.75
  6. Step 6: Final answer
    x = 1,993,214.45

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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.