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Finding the Third Proportional to 1,467,602 and 2,997,412

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Solution

The third proportional to 1,467,602 and 2,997,412 is: 6,121,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,602 : 2,997,412 = 2,997,412 : x
  2. Step 2: Convert to fraction form
    1,467,602/2,997,412 = 2,997,412/x
  3. Step 3: Cross multiply
    1,467,602x = 2,997,412 × 2,997,412
  4. Step 4: Simplify right side
    1,467,602x = 8,984,478,697,744
  5. Step 5: Solve for x
    x = 8,984,478,697,744/1,467,602
  6. Step 6: Final answer
    x = 6,121,876.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.