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Finding the Third Proportional to 1,399,608 and 2,099,047.50

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Solution

The third proportional to 1,399,608 and 2,099,047.50 is: 3,148,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,608 : 2,099,047.50 = 2,099,047.50 : x
  2. Step 2: Convert to fraction form
    1,399,608/2,099,047.50 = 2,099,047.50/x
  3. Step 3: Cross multiply
    1,399,608x = 2,099,047.50 × 2,099,047.50
  4. Step 4: Simplify right side
    1,399,608x = 4,406,000,407,256.25
  5. Step 5: Solve for x
    x = 4,406,000,407,256.25/1,399,608
  6. Step 6: Final answer
    x = 3,148,024.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.