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Finding the Third Proportional to 580,742 and 1,250,456

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Solution

The third proportional to 580,742 and 1,250,456 is: 2,692,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,742 : 1,250,456 = 1,250,456 : x
  2. Step 2: Convert to fraction form
    580,742/1,250,456 = 1,250,456/x
  3. Step 3: Cross multiply
    580,742x = 1,250,456 × 1,250,456
  4. Step 4: Simplify right side
    580,742x = 1,563,640,207,936
  5. Step 5: Solve for x
    x = 1,563,640,207,936/580,742
  6. Step 6: Final answer
    x = 2,692,486.87

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