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Finding the Third Proportional to 2,306,880.50 and 5,048,205

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Solution

The third proportional to 2,306,880.50 and 5,048,205 is: 11,047,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306,880.50 : 5,048,205 = 5,048,205 : x
  2. Step 2: Convert to fraction form
    2,306,880.50/5,048,205 = 5,048,205/x
  3. Step 3: Cross multiply
    2,306,880.50x = 5,048,205 × 5,048,205
  4. Step 4: Simplify right side
    2,306,880.50x = 25,484,373,722,025
  5. Step 5: Solve for x
    x = 25,484,373,722,025/2,306,880.50
  6. Step 6: Final answer
    x = 11,047,114.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.