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Finding the Third Proportional to 3,226,257 and 4,952,178

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Solution

The third proportional to 3,226,257 and 4,952,178 is: 7,601,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,257 : 4,952,178 = 4,952,178 : x
  2. Step 2: Convert to fraction form
    3,226,257/4,952,178 = 4,952,178/x
  3. Step 3: Cross multiply
    3,226,257x = 4,952,178 × 4,952,178
  4. Step 4: Simplify right side
    3,226,257x = 24,524,066,943,684
  5. Step 5: Solve for x
    x = 24,524,066,943,684/3,226,257
  6. Step 6: Final answer
    x = 7,601,399.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.