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Finding the Third Proportional to 523,226 and 1,130,084

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Solution

The third proportional to 523,226 and 1,130,084 is: 2,440,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,226 : 1,130,084 = 1,130,084 : x
  2. Step 2: Convert to fraction form
    523,226/1,130,084 = 1,130,084/x
  3. Step 3: Cross multiply
    523,226x = 1,130,084 × 1,130,084
  4. Step 4: Simplify right side
    523,226x = 1,277,089,847,056
  5. Step 5: Solve for x
    x = 1,277,089,847,056/523,226
  6. Step 6: Final answer
    x = 2,440,799.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.