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Finding the Third Proportional to 1,016,512 and 2,117,236

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Solution

The third proportional to 1,016,512 and 2,117,236 is: 4,409,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,512 : 2,117,236 = 2,117,236 : x
  2. Step 2: Convert to fraction form
    1,016,512/2,117,236 = 2,117,236/x
  3. Step 3: Cross multiply
    1,016,512x = 2,117,236 × 2,117,236
  4. Step 4: Simplify right side
    1,016,512x = 4,482,688,279,696
  5. Step 5: Solve for x
    x = 4,482,688,279,696/1,016,512
  6. Step 6: Final answer
    x = 4,409,872.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.