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Finding the Third Proportional to 491,811 and 1,014,294

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Solution

The third proportional to 491,811 and 1,014,294 is: 2,091,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,811 : 1,014,294 = 1,014,294 : x
  2. Step 2: Convert to fraction form
    491,811/1,014,294 = 1,014,294/x
  3. Step 3: Cross multiply
    491,811x = 1,014,294 × 1,014,294
  4. Step 4: Simplify right side
    491,811x = 1,028,792,318,436
  5. Step 5: Solve for x
    x = 1,028,792,318,436/491,811
  6. Step 6: Final answer
    x = 2,091,844.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.