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Finding the Third Proportional to 2,370,586.50 and 5,023,296

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Solution

The third proportional to 2,370,586.50 and 5,023,296 is: 10,644,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,586.50 : 5,023,296 = 5,023,296 : x
  2. Step 2: Convert to fraction form
    2,370,586.50/5,023,296 = 5,023,296/x
  3. Step 3: Cross multiply
    2,370,586.50x = 5,023,296 × 5,023,296
  4. Step 4: Simplify right side
    2,370,586.50x = 25,233,502,703,616
  5. Step 5: Solve for x
    x = 25,233,502,703,616/2,370,586.50
  6. Step 6: Final answer
    x = 10,644,413.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.