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Finding the Third Proportional to 911,439 and 1,994,409

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Solution

The third proportional to 911,439 and 1,994,409 is: 4,364,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,439 : 1,994,409 = 1,994,409 : x
  2. Step 2: Convert to fraction form
    911,439/1,994,409 = 1,994,409/x
  3. Step 3: Cross multiply
    911,439x = 1,994,409 × 1,994,409
  4. Step 4: Simplify right side
    911,439x = 3,977,667,259,281
  5. Step 5: Solve for x
    x = 3,977,667,259,281/911,439
  6. Step 6: Final answer
    x = 4,364,161.79

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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.