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Finding the Third Proportional to 522,754 and 1,134,020

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Solution

The third proportional to 522,754 and 1,134,020 is: 2,460,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,754 : 1,134,020 = 1,134,020 : x
  2. Step 2: Convert to fraction form
    522,754/1,134,020 = 1,134,020/x
  3. Step 3: Cross multiply
    522,754x = 1,134,020 × 1,134,020
  4. Step 4: Simplify right side
    522,754x = 1,286,001,360,400
  5. Step 5: Solve for x
    x = 1,286,001,360,400/522,754
  6. Step 6: Final answer
    x = 2,460,050.73

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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.