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Finding the Third Proportional to 580,680 and 1,214,586

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Solution

The third proportional to 580,680 and 1,214,586 is: 2,540,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,680 : 1,214,586 = 1,214,586 : x
  2. Step 2: Convert to fraction form
    580,680/1,214,586 = 1,214,586/x
  3. Step 3: Cross multiply
    580,680x = 1,214,586 × 1,214,586
  4. Step 4: Simplify right side
    580,680x = 1,475,219,151,396
  5. Step 5: Solve for x
    x = 1,475,219,151,396/580,680
  6. Step 6: Final answer
    x = 2,540,502.78

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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.