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Finding the Third Proportional to 996,877 and 1,546,466

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Solution

The third proportional to 996,877 and 1,546,466 is: 2,399,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,877 : 1,546,466 = 1,546,466 : x
  2. Step 2: Convert to fraction form
    996,877/1,546,466 = 1,546,466/x
  3. Step 3: Cross multiply
    996,877x = 1,546,466 × 1,546,466
  4. Step 4: Simplify right side
    996,877x = 2,391,557,089,156
  5. Step 5: Solve for x
    x = 2,391,557,089,156/996,877
  6. Step 6: Final answer
    x = 2,399,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.