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Finding the Third Proportional to 1,218,318 and 1,893,921

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Solution

The third proportional to 1,218,318 and 1,893,921 is: 2,944,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,318 : 1,893,921 = 1,893,921 : x
  2. Step 2: Convert to fraction form
    1,218,318/1,893,921 = 1,893,921/x
  3. Step 3: Cross multiply
    1,218,318x = 1,893,921 × 1,893,921
  4. Step 4: Simplify right side
    1,218,318x = 3,586,936,754,241
  5. Step 5: Solve for x
    x = 3,586,936,754,241/1,218,318
  6. Step 6: Final answer
    x = 2,944,171.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.