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Finding the Third Proportional to 948,760 and 2,033,114

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Solution

The third proportional to 948,760 and 2,033,114 is: 4,356,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,760 : 2,033,114 = 2,033,114 : x
  2. Step 2: Convert to fraction form
    948,760/2,033,114 = 2,033,114/x
  3. Step 3: Cross multiply
    948,760x = 2,033,114 × 2,033,114
  4. Step 4: Simplify right side
    948,760x = 4,133,552,536,996
  5. Step 5: Solve for x
    x = 4,133,552,536,996/948,760
  6. Step 6: Final answer
    x = 4,356,794.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.