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Finding the Third Proportional to 1,415,506.50 and 3,079,840.50

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Solution

The third proportional to 1,415,506.50 and 3,079,840.50 is: 6,701,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,506.50 : 3,079,840.50 = 3,079,840.50 : x
  2. Step 2: Convert to fraction form
    1,415,506.50/3,079,840.50 = 3,079,840.50/x
  3. Step 3: Cross multiply
    1,415,506.50x = 3,079,840.50 × 3,079,840.50
  4. Step 4: Simplify right side
    1,415,506.50x = 9,485,417,505,440.25
  5. Step 5: Solve for x
    x = 9,485,417,505,440.25/1,415,506.50
  6. Step 6: Final answer
    x = 6,701,076.61

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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.