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Finding the Third Proportional to 2,567,938 and 6,072,892

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Solution

The third proportional to 2,567,938 and 6,072,892 is: 14,361,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,938 : 6,072,892 = 6,072,892 : x
  2. Step 2: Convert to fraction form
    2,567,938/6,072,892 = 6,072,892/x
  3. Step 3: Cross multiply
    2,567,938x = 6,072,892 × 6,072,892
  4. Step 4: Simplify right side
    2,567,938x = 36,880,017,243,664
  5. Step 5: Solve for x
    x = 36,880,017,243,664/2,567,938
  6. Step 6: Final answer
    x = 14,361,724.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.