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Finding the Third Proportional to 580,087 and 1,245,861

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Solution

The third proportional to 580,087 and 1,245,861 is: 2,675,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,087 : 1,245,861 = 1,245,861 : x
  2. Step 2: Convert to fraction form
    580,087/1,245,861 = 1,245,861/x
  3. Step 3: Cross multiply
    580,087x = 1,245,861 × 1,245,861
  4. Step 4: Simplify right side
    580,087x = 1,552,169,631,321
  5. Step 5: Solve for x
    x = 1,552,169,631,321/580,087
  6. Step 6: Final answer
    x = 2,675,753.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.