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Finding the Third Proportional to 424,986.75 and 924,743.25

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Solution

The third proportional to 424,986.75 and 924,743.25 is: 2,012,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,986.75 : 924,743.25 = 924,743.25 : x
  2. Step 2: Convert to fraction form
    424,986.75/924,743.25 = 924,743.25/x
  3. Step 3: Cross multiply
    424,986.75x = 924,743.25 × 924,743.25
  4. Step 4: Simplify right side
    424,986.75x = 855,150,078,420.56
  5. Step 5: Solve for x
    x = 855,150,078,420.56/424,986.75
  6. Step 6: Final answer
    x = 2,012,180.56

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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.