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Finding the Third Proportional to 526,848 and 1,154,064

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Solution

The third proportional to 526,848 and 1,154,064 is: 2,527,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,848 : 1,154,064 = 1,154,064 : x
  2. Step 2: Convert to fraction form
    526,848/1,154,064 = 1,154,064/x
  3. Step 3: Cross multiply
    526,848x = 1,154,064 × 1,154,064
  4. Step 4: Simplify right side
    526,848x = 1,331,863,716,096
  5. Step 5: Solve for x
    x = 1,331,863,716,096/526,848
  6. Step 6: Final answer
    x = 2,527,984.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.