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Finding the Third Proportional to 2,912,823 and 4,369,233

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Solution

The third proportional to 2,912,823 and 4,369,233 is: 6,553,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,823 : 4,369,233 = 4,369,233 : x
  2. Step 2: Convert to fraction form
    2,912,823/4,369,233 = 4,369,233/x
  3. Step 3: Cross multiply
    2,912,823x = 4,369,233 × 4,369,233
  4. Step 4: Simplify right side
    2,912,823x = 19,090,197,008,289
  5. Step 5: Solve for x
    x = 19,090,197,008,289/2,912,823
  6. Step 6: Final answer
    x = 6,553,847.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.