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Finding the Third Proportional to 2,380,721.50 and 3,403,092

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Solution

The third proportional to 2,380,721.50 and 3,403,092 is: 4,864,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,721.50 : 3,403,092 = 3,403,092 : x
  2. Step 2: Convert to fraction form
    2,380,721.50/3,403,092 = 3,403,092/x
  3. Step 3: Cross multiply
    2,380,721.50x = 3,403,092 × 3,403,092
  4. Step 4: Simplify right side
    2,380,721.50x = 11,581,035,160,464
  5. Step 5: Solve for x
    x = 11,581,035,160,464/2,380,721.50
  6. Step 6: Final answer
    x = 4,864,506.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.