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Finding the Third Proportional to 2,406,024 and 5,173,632

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Solution

The third proportional to 2,406,024 and 5,173,632 is: 11,124,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,024 : 5,173,632 = 5,173,632 : x
  2. Step 2: Convert to fraction form
    2,406,024/5,173,632 = 5,173,632/x
  3. Step 3: Cross multiply
    2,406,024x = 5,173,632 × 5,173,632
  4. Step 4: Simplify right side
    2,406,024x = 26,766,468,071,424
  5. Step 5: Solve for x
    x = 26,766,468,071,424/2,406,024
  6. Step 6: Final answer
    x = 11,124,771.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.