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Finding the Third Proportional to 1,415,509 and 3,079,845

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Solution

The third proportional to 1,415,509 and 3,079,845 is: 6,701,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,509 : 3,079,845 = 3,079,845 : x
  2. Step 2: Convert to fraction form
    1,415,509/3,079,845 = 3,079,845/x
  3. Step 3: Cross multiply
    1,415,509x = 3,079,845 × 3,079,845
  4. Step 4: Simplify right side
    1,415,509x = 9,485,445,224,025
  5. Step 5: Solve for x
    x = 9,485,445,224,025/1,415,509
  6. Step 6: Final answer
    x = 6,701,084.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.