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Finding the Third Proportional to 362,218 and 786,912

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Solution

The third proportional to 362,218 and 786,912 is: 1,709,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,218 : 786,912 = 786,912 : x
  2. Step 2: Convert to fraction form
    362,218/786,912 = 786,912/x
  3. Step 3: Cross multiply
    362,218x = 786,912 × 786,912
  4. Step 4: Simplify right side
    362,218x = 619,230,495,744
  5. Step 5: Solve for x
    x = 619,230,495,744/362,218
  6. Step 6: Final answer
    x = 1,709,551.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.