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Finding the Third Proportional to 968,133 and 2,099,559

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Solution

The third proportional to 968,133 and 2,099,559 is: 4,553,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,133 : 2,099,559 = 2,099,559 : x
  2. Step 2: Convert to fraction form
    968,133/2,099,559 = 2,099,559/x
  3. Step 3: Cross multiply
    968,133x = 2,099,559 × 2,099,559
  4. Step 4: Simplify right side
    968,133x = 4,408,147,994,481
  5. Step 5: Solve for x
    x = 4,408,147,994,481/968,133
  6. Step 6: Final answer
    x = 4,553,246.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.