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Finding the Third Proportional to 581,715 and 1,213,245

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Solution

The third proportional to 581,715 and 1,213,245 is: 2,530,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,715 : 1,213,245 = 1,213,245 : x
  2. Step 2: Convert to fraction form
    581,715/1,213,245 = 1,213,245/x
  3. Step 3: Cross multiply
    581,715x = 1,213,245 × 1,213,245
  4. Step 4: Simplify right side
    581,715x = 1,471,963,430,025
  5. Step 5: Solve for x
    x = 1,471,963,430,025/581,715
  6. Step 6: Final answer
    x = 2,530,385.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.