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Finding the Third Proportional to 1,470,344.50 and 3,184,958

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Solution

The third proportional to 1,470,344.50 and 3,184,958 is: 6,899,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,344.50 : 3,184,958 = 3,184,958 : x
  2. Step 2: Convert to fraction form
    1,470,344.50/3,184,958 = 3,184,958/x
  3. Step 3: Cross multiply
    1,470,344.50x = 3,184,958 × 3,184,958
  4. Step 4: Simplify right side
    1,470,344.50x = 10,143,957,461,764
  5. Step 5: Solve for x
    x = 10,143,957,461,764/1,470,344.50
  6. Step 6: Final answer
    x = 6,899,034.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.