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Finding the Third Proportional to 945,794 and 1,428,499

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Solution

The third proportional to 945,794 and 1,428,499 is: 2,157,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,794 : 1,428,499 = 1,428,499 : x
  2. Step 2: Convert to fraction form
    945,794/1,428,499 = 1,428,499/x
  3. Step 3: Cross multiply
    945,794x = 1,428,499 × 1,428,499
  4. Step 4: Simplify right side
    945,794x = 2,040,609,393,001
  5. Step 5: Solve for x
    x = 2,040,609,393,001/945,794
  6. Step 6: Final answer
    x = 2,157,562.21

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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.