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Finding the Third Proportional to 523,071 and 1,134,270

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Solution

The third proportional to 523,071 and 1,134,270 is: 2,459,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,071 : 1,134,270 = 1,134,270 : x
  2. Step 2: Convert to fraction form
    523,071/1,134,270 = 1,134,270/x
  3. Step 3: Cross multiply
    523,071x = 1,134,270 × 1,134,270
  4. Step 4: Simplify right side
    523,071x = 1,286,568,432,900
  5. Step 5: Solve for x
    x = 1,286,568,432,900/523,071
  6. Step 6: Final answer
    x = 2,459,643.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.