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Finding the Third Proportional to 829,956 and 1,943,562

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Solution

The third proportional to 829,956 and 1,943,562 is: 4,551,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,956 : 1,943,562 = 1,943,562 : x
  2. Step 2: Convert to fraction form
    829,956/1,943,562 = 1,943,562/x
  3. Step 3: Cross multiply
    829,956x = 1,943,562 × 1,943,562
  4. Step 4: Simplify right side
    829,956x = 3,777,433,247,844
  5. Step 5: Solve for x
    x = 3,777,433,247,844/829,956
  6. Step 6: Final answer
    x = 4,551,365.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.