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Finding the Third Proportional to 1,020,161 and 2,234,236

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Solution

The third proportional to 1,020,161 and 2,234,236 is: 4,893,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,161 : 2,234,236 = 2,234,236 : x
  2. Step 2: Convert to fraction form
    1,020,161/2,234,236 = 2,234,236/x
  3. Step 3: Cross multiply
    1,020,161x = 2,234,236 × 2,234,236
  4. Step 4: Simplify right side
    1,020,161x = 4,991,810,503,696
  5. Step 5: Solve for x
    x = 4,991,810,503,696/1,020,161
  6. Step 6: Final answer
    x = 4,893,159.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.