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Finding the Third Proportional to 978,427 and 1,496,821

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Solution

The third proportional to 978,427 and 1,496,821 is: 2,289,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,427 : 1,496,821 = 1,496,821 : x
  2. Step 2: Convert to fraction form
    978,427/1,496,821 = 1,496,821/x
  3. Step 3: Cross multiply
    978,427x = 1,496,821 × 1,496,821
  4. Step 4: Simplify right side
    978,427x = 2,240,473,106,041
  5. Step 5: Solve for x
    x = 2,240,473,106,041/978,427
  6. Step 6: Final answer
    x = 2,289,872.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.