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Finding the Third Proportional to 463,911 and 988,569

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Solution

The third proportional to 463,911 and 988,569 is: 2,106,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,911 : 988,569 = 988,569 : x
  2. Step 2: Convert to fraction form
    463,911/988,569 = 988,569/x
  3. Step 3: Cross multiply
    463,911x = 988,569 × 988,569
  4. Step 4: Simplify right side
    463,911x = 977,268,667,761
  5. Step 5: Solve for x
    x = 977,268,667,761/463,911
  6. Step 6: Final answer
    x = 2,106,586.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.