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Finding the Third Proportional to 466,126 and 1,015,285

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Solution

The third proportional to 466,126 and 1,015,285 is: 2,211,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,126 : 1,015,285 = 1,015,285 : x
  2. Step 2: Convert to fraction form
    466,126/1,015,285 = 1,015,285/x
  3. Step 3: Cross multiply
    466,126x = 1,015,285 × 1,015,285
  4. Step 4: Simplify right side
    466,126x = 1,030,803,631,225
  5. Step 5: Solve for x
    x = 1,030,803,631,225/466,126
  6. Step 6: Final answer
    x = 2,211,427.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.