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Finding the Third Proportional to 1,578,444 and 3,409,104

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Solution

The third proportional to 1,578,444 and 3,409,104 is: 7,362,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,444 : 3,409,104 = 3,409,104 : x
  2. Step 2: Convert to fraction form
    1,578,444/3,409,104 = 3,409,104/x
  3. Step 3: Cross multiply
    1,578,444x = 3,409,104 × 3,409,104
  4. Step 4: Simplify right side
    1,578,444x = 11,621,990,082,816
  5. Step 5: Solve for x
    x = 11,621,990,082,816/1,578,444
  6. Step 6: Final answer
    x = 7,362,941.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.