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Finding the Third Proportional to 996,869 and 1,546,454

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Solution

The third proportional to 996,869 and 1,546,454 is: 2,399,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,869 : 1,546,454 = 1,546,454 : x
  2. Step 2: Convert to fraction form
    996,869/1,546,454 = 1,546,454/x
  3. Step 3: Cross multiply
    996,869x = 1,546,454 × 1,546,454
  4. Step 4: Simplify right side
    996,869x = 2,391,519,974,116
  5. Step 5: Solve for x
    x = 2,391,519,974,116/996,869
  6. Step 6: Final answer
    x = 2,399,031.34

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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.