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Finding the Third Proportional to 3,882,702.41 and 6,028,533.84

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Solution

The third proportional to 3,882,702.41 and 6,028,533.84 is: 9,360,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,702.41 : 6,028,533.84 = 6,028,533.84 : x
  2. Step 2: Convert to fraction form
    3,882,702.41/6,028,533.84 = 6,028,533.84/x
  3. Step 3: Cross multiply
    3,882,702.41x = 6,028,533.84 × 6,028,533.84
  4. Step 4: Simplify right side
    3,882,702.41x = 36,343,220,305,239.15
  5. Step 5: Solve for x
    x = 36,343,220,305,239.15/3,882,702.41
  6. Step 6: Final answer
    x = 9,360,289.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.