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Finding the Third Proportional to 466,112 and 1,015,261

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Solution

The third proportional to 466,112 and 1,015,261 is: 2,211,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,112 : 1,015,261 = 1,015,261 : x
  2. Step 2: Convert to fraction form
    466,112/1,015,261 = 1,015,261/x
  3. Step 3: Cross multiply
    466,112x = 1,015,261 × 1,015,261
  4. Step 4: Simplify right side
    466,112x = 1,030,754,898,121
  5. Step 5: Solve for x
    x = 1,030,754,898,121/466,112
  6. Step 6: Final answer
    x = 2,211,388.89

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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.