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Finding the Third Proportional to 1,362,015 and 1,908,825.75

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Solution

The third proportional to 1,362,015 and 1,908,825.75 is: 2,675,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,015 : 1,908,825.75 = 1,908,825.75 : x
  2. Step 2: Convert to fraction form
    1,362,015/1,908,825.75 = 1,908,825.75/x
  3. Step 3: Cross multiply
    1,362,015x = 1,908,825.75 × 1,908,825.75
  4. Step 4: Simplify right side
    1,362,015x = 3,643,615,743,863.06
  5. Step 5: Solve for x
    x = 3,643,615,743,863.06/1,362,015
  6. Step 6: Final answer
    x = 2,675,165.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.