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Finding the Third Proportional to 1,205,091 and 1,599,318

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Solution

The third proportional to 1,205,091 and 1,599,318 is: 2,122,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,091 : 1,599,318 = 1,599,318 : x
  2. Step 2: Convert to fraction form
    1,205,091/1,599,318 = 1,599,318/x
  3. Step 3: Cross multiply
    1,205,091x = 1,599,318 × 1,599,318
  4. Step 4: Simplify right side
    1,205,091x = 2,557,818,065,124
  5. Step 5: Solve for x
    x = 2,557,818,065,124/1,205,091
  6. Step 6: Final answer
    x = 2,122,510.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.