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Finding the Third Proportional to 831,918.75 and 1,316,169.56

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Solution

The third proportional to 831,918.75 and 1,316,169.56 is: 2,082,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,918.75 : 1,316,169.56 = 1,316,169.56 : x
  2. Step 2: Convert to fraction form
    831,918.75/1,316,169.56 = 1,316,169.56/x
  3. Step 3: Cross multiply
    831,918.75x = 1,316,169.56 × 1,316,169.56
  4. Step 4: Simplify right side
    831,918.75x = 1,732,302,317,251.44
  5. Step 5: Solve for x
    x = 1,732,302,317,251.44/831,918.75
  6. Step 6: Final answer
    x = 2,082,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.