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Finding the Third Proportional to 1,178,086 and 2,562,380

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Solution

The third proportional to 1,178,086 and 2,562,380 is: 5,573,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,086 : 2,562,380 = 2,562,380 : x
  2. Step 2: Convert to fraction form
    1,178,086/2,562,380 = 2,562,380/x
  3. Step 3: Cross multiply
    1,178,086x = 2,562,380 × 2,562,380
  4. Step 4: Simplify right side
    1,178,086x = 6,565,791,264,400
  5. Step 5: Solve for x
    x = 6,565,791,264,400/1,178,086
  6. Step 6: Final answer
    x = 5,573,269.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.