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Finding the Third Proportional to 933,986 and 1,424,307

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Solution

The third proportional to 933,986 and 1,424,307 is: 2,172,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,986 : 1,424,307 = 1,424,307 : x
  2. Step 2: Convert to fraction form
    933,986/1,424,307 = 1,424,307/x
  3. Step 3: Cross multiply
    933,986x = 1,424,307 × 1,424,307
  4. Step 4: Simplify right side
    933,986x = 2,028,650,430,249
  5. Step 5: Solve for x
    x = 2,028,650,430,249/933,986
  6. Step 6: Final answer
    x = 2,172,035.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.