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Finding the Third Proportional to 1,425,600 and 2,968,731

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Solution

The third proportional to 1,425,600 and 2,968,731 is: 6,182,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,600 : 2,968,731 = 2,968,731 : x
  2. Step 2: Convert to fraction form
    1,425,600/2,968,731 = 2,968,731/x
  3. Step 3: Cross multiply
    1,425,600x = 2,968,731 × 2,968,731
  4. Step 4: Simplify right side
    1,425,600x = 8,813,363,750,361
  5. Step 5: Solve for x
    x = 8,813,363,750,361/1,425,600
  6. Step 6: Final answer
    x = 6,182,213.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.