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Finding the Third Proportional to 786,392 and 1,719,974

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Solution

The third proportional to 786,392 and 1,719,974 is: 3,761,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,392 : 1,719,974 = 1,719,974 : x
  2. Step 2: Convert to fraction form
    786,392/1,719,974 = 1,719,974/x
  3. Step 3: Cross multiply
    786,392x = 1,719,974 × 1,719,974
  4. Step 4: Simplify right side
    786,392x = 2,958,310,560,676
  5. Step 5: Solve for x
    x = 2,958,310,560,676/786,392
  6. Step 6: Final answer
    x = 3,761,877.74

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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.