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Finding the Third Proportional to 968,193 and 1,421,185.50

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Solution

The third proportional to 968,193 and 1,421,185.50 is: 2,086,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,193 : 1,421,185.50 = 1,421,185.50 : x
  2. Step 2: Convert to fraction form
    968,193/1,421,185.50 = 1,421,185.50/x
  3. Step 3: Cross multiply
    968,193x = 1,421,185.50 × 1,421,185.50
  4. Step 4: Simplify right side
    968,193x = 2,019,768,225,410.25
  5. Step 5: Solve for x
    x = 2,019,768,225,410.25/968,193
  6. Step 6: Final answer
    x = 2,086,121.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.