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Finding the Third Proportional to 1,902,271.50 and 4,485,973.50

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Solution

The third proportional to 1,902,271.50 and 4,485,973.50 is: 10,578,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,271.50 : 4,485,973.50 = 4,485,973.50 : x
  2. Step 2: Convert to fraction form
    1,902,271.50/4,485,973.50 = 4,485,973.50/x
  3. Step 3: Cross multiply
    1,902,271.50x = 4,485,973.50 × 4,485,973.50
  4. Step 4: Simplify right side
    1,902,271.50x = 20,123,958,242,702.25
  5. Step 5: Solve for x
    x = 20,123,958,242,702.25/1,902,271.50
  6. Step 6: Final answer
    x = 10,578,909.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.