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Finding the Third Proportional to 2,024,743.50 and 2,848,054.50

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Solution

The third proportional to 2,024,743.50 and 2,848,054.50 is: 4,006,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,743.50 : 2,848,054.50 = 2,848,054.50 : x
  2. Step 2: Convert to fraction form
    2,024,743.50/2,848,054.50 = 2,848,054.50/x
  3. Step 3: Cross multiply
    2,024,743.50x = 2,848,054.50 × 2,848,054.50
  4. Step 4: Simplify right side
    2,024,743.50x = 8,111,414,434,970.25
  5. Step 5: Solve for x
    x = 8,111,414,434,970.25/2,024,743.50
  6. Step 6: Final answer
    x = 4,006,144.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.