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Finding the Third Proportional to 964,314 and 2,100,063

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Solution

The third proportional to 964,314 and 2,100,063 is: 4,573,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,314 : 2,100,063 = 2,100,063 : x
  2. Step 2: Convert to fraction form
    964,314/2,100,063 = 2,100,063/x
  3. Step 3: Cross multiply
    964,314x = 2,100,063 × 2,100,063
  4. Step 4: Simplify right side
    964,314x = 4,410,264,603,969
  5. Step 5: Solve for x
    x = 4,410,264,603,969/964,314
  6. Step 6: Final answer
    x = 4,573,473.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.