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Finding the Third Proportional to 982,249 and 1,477,025

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Solution

The third proportional to 982,249 and 1,477,025 is: 2,221,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,249 : 1,477,025 = 1,477,025 : x
  2. Step 2: Convert to fraction form
    982,249/1,477,025 = 1,477,025/x
  3. Step 3: Cross multiply
    982,249x = 1,477,025 × 1,477,025
  4. Step 4: Simplify right side
    982,249x = 2,181,602,850,625
  5. Step 5: Solve for x
    x = 2,181,602,850,625/982,249
  6. Step 6: Final answer
    x = 2,221,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.