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Finding the Third Proportional to 1,415,578 and 3,056,408

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Solution

The third proportional to 1,415,578 and 3,056,408 is: 6,599,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,578 : 3,056,408 = 3,056,408 : x
  2. Step 2: Convert to fraction form
    1,415,578/3,056,408 = 3,056,408/x
  3. Step 3: Cross multiply
    1,415,578x = 3,056,408 × 3,056,408
  4. Step 4: Simplify right side
    1,415,578x = 9,341,629,862,464
  5. Step 5: Solve for x
    x = 9,341,629,862,464/1,415,578
  6. Step 6: Final answer
    x = 6,599,162.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.