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Finding the Third Proportional to 1,447,658 and 2,858,984

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Solution

The third proportional to 1,447,658 and 2,858,984 is: 5,646,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,658 : 2,858,984 = 2,858,984 : x
  2. Step 2: Convert to fraction form
    1,447,658/2,858,984 = 2,858,984/x
  3. Step 3: Cross multiply
    1,447,658x = 2,858,984 × 2,858,984
  4. Step 4: Simplify right side
    1,447,658x = 8,173,789,512,256
  5. Step 5: Solve for x
    x = 8,173,789,512,256/1,447,658
  6. Step 6: Final answer
    x = 5,646,215.83

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.