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Finding the Third Proportional to 948,392 and 2,054,176

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Solution

The third proportional to 948,392 and 2,054,176 is: 4,449,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,392 : 2,054,176 = 2,054,176 : x
  2. Step 2: Convert to fraction form
    948,392/2,054,176 = 2,054,176/x
  3. Step 3: Cross multiply
    948,392x = 2,054,176 × 2,054,176
  4. Step 4: Simplify right side
    948,392x = 4,219,639,038,976
  5. Step 5: Solve for x
    x = 4,219,639,038,976/948,392
  6. Step 6: Final answer
    x = 4,449,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.