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Finding the Third Proportional to 1,426,815 and 2,971,728

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Solution

The third proportional to 1,426,815 and 2,971,728 is: 6,189,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,815 : 2,971,728 = 2,971,728 : x
  2. Step 2: Convert to fraction form
    1,426,815/2,971,728 = 2,971,728/x
  3. Step 3: Cross multiply
    1,426,815x = 2,971,728 × 2,971,728
  4. Step 4: Simplify right side
    1,426,815x = 8,831,167,305,984
  5. Step 5: Solve for x
    x = 8,831,167,305,984/1,426,815
  6. Step 6: Final answer
    x = 6,189,427.01

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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.