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Finding the Third Proportional to 3,226,283 and 4,952,217

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Solution

The third proportional to 3,226,283 and 4,952,217 is: 7,601,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,283 : 4,952,217 = 4,952,217 : x
  2. Step 2: Convert to fraction form
    3,226,283/4,952,217 = 4,952,217/x
  3. Step 3: Cross multiply
    3,226,283x = 4,952,217 × 4,952,217
  4. Step 4: Simplify right side
    3,226,283x = 24,524,453,215,089
  5. Step 5: Solve for x
    x = 24,524,453,215,089/3,226,283
  6. Step 6: Final answer
    x = 7,601,457.53

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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.