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Finding the Third Proportional to 584,826 and 1,256,676

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Solution

The third proportional to 584,826 and 1,256,676 is: 2,700,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,826 : 1,256,676 = 1,256,676 : x
  2. Step 2: Convert to fraction form
    584,826/1,256,676 = 1,256,676/x
  3. Step 3: Cross multiply
    584,826x = 1,256,676 × 1,256,676
  4. Step 4: Simplify right side
    584,826x = 1,579,234,568,976
  5. Step 5: Solve for x
    x = 1,579,234,568,976/584,826
  6. Step 6: Final answer
    x = 2,700,349.45

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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.