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Finding the Third Proportional to 649,083 and 1,412,458.50

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Solution

The third proportional to 649,083 and 1,412,458.50 is: 3,073,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,083 : 1,412,458.50 = 1,412,458.50 : x
  2. Step 2: Convert to fraction form
    649,083/1,412,458.50 = 1,412,458.50/x
  3. Step 3: Cross multiply
    649,083x = 1,412,458.50 × 1,412,458.50
  4. Step 4: Simplify right side
    649,083x = 1,995,039,014,222.25
  5. Step 5: Solve for x
    x = 1,995,039,014,222.25/649,083
  6. Step 6: Final answer
    x = 3,073,626.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.