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Finding the Third Proportional to 451,226 and 1,003,315

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Solution

The third proportional to 451,226 and 1,003,315 is: 2,230,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,226 : 1,003,315 = 1,003,315 : x
  2. Step 2: Convert to fraction form
    451,226/1,003,315 = 1,003,315/x
  3. Step 3: Cross multiply
    451,226x = 1,003,315 × 1,003,315
  4. Step 4: Simplify right side
    451,226x = 1,006,640,989,225
  5. Step 5: Solve for x
    x = 1,006,640,989,225/451,226
  6. Step 6: Final answer
    x = 2,230,902.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.