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Finding the Third Proportional to 898,422 and 1,946,247

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Solution

The third proportional to 898,422 and 1,946,247 is: 4,216,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,422 : 1,946,247 = 1,946,247 : x
  2. Step 2: Convert to fraction form
    898,422/1,946,247 = 1,946,247/x
  3. Step 3: Cross multiply
    898,422x = 1,946,247 × 1,946,247
  4. Step 4: Simplify right side
    898,422x = 3,787,877,385,009
  5. Step 5: Solve for x
    x = 3,787,877,385,009/898,422
  6. Step 6: Final answer
    x = 4,216,144.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.