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Finding the Third Proportional to 526,826 and 1,119,250

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Solution

The third proportional to 526,826 and 1,119,250 is: 2,377,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,826 : 1,119,250 = 1,119,250 : x
  2. Step 2: Convert to fraction form
    526,826/1,119,250 = 1,119,250/x
  3. Step 3: Cross multiply
    526,826x = 1,119,250 × 1,119,250
  4. Step 4: Simplify right side
    526,826x = 1,252,720,562,500
  5. Step 5: Solve for x
    x = 1,252,720,562,500/526,826
  6. Step 6: Final answer
    x = 2,377,863.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.