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Finding the Third Proportional to 2,025,129 and 2,848,597.50

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Solution

The third proportional to 2,025,129 and 2,848,597.50 is: 4,006,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,129 : 2,848,597.50 = 2,848,597.50 : x
  2. Step 2: Convert to fraction form
    2,025,129/2,848,597.50 = 2,848,597.50/x
  3. Step 3: Cross multiply
    2,025,129x = 2,848,597.50 × 2,848,597.50
  4. Step 4: Simplify right side
    2,025,129x = 8,114,507,717,006.25
  5. Step 5: Solve for x
    x = 8,114,507,717,006.25/2,025,129
  6. Step 6: Final answer
    x = 4,006,909.05

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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.