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Finding the Third Proportional to 2,299,233 and 3,480,658.50

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Solution

The third proportional to 2,299,233 and 3,480,658.50 is: 5,269,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,233 : 3,480,658.50 = 3,480,658.50 : x
  2. Step 2: Convert to fraction form
    2,299,233/3,480,658.50 = 3,480,658.50/x
  3. Step 3: Cross multiply
    2,299,233x = 3,480,658.50 × 3,480,658.50
  4. Step 4: Simplify right side
    2,299,233x = 12,114,983,593,622.25
  5. Step 5: Solve for x
    x = 12,114,983,593,622.25/2,299,233
  6. Step 6: Final answer
    x = 5,269,141.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.