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Finding the Third Proportional to 2,406,944 and 5,245,564

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Solution

The third proportional to 2,406,944 and 5,245,564 is: 11,431,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,944 : 5,245,564 = 5,245,564 : x
  2. Step 2: Convert to fraction form
    2,406,944/5,245,564 = 5,245,564/x
  3. Step 3: Cross multiply
    2,406,944x = 5,245,564 × 5,245,564
  4. Step 4: Simplify right side
    2,406,944x = 27,515,941,678,096
  5. Step 5: Solve for x
    x = 27,515,941,678,096/2,406,944
  6. Step 6: Final answer
    x = 11,431,899.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.