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Finding the Third Proportional to 963,065 and 2,086,622

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Solution

The third proportional to 963,065 and 2,086,622 is: 4,520,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,065 : 2,086,622 = 2,086,622 : x
  2. Step 2: Convert to fraction form
    963,065/2,086,622 = 2,086,622/x
  3. Step 3: Cross multiply
    963,065x = 2,086,622 × 2,086,622
  4. Step 4: Simplify right side
    963,065x = 4,353,991,370,884
  5. Step 5: Solve for x
    x = 4,353,991,370,884/963,065
  6. Step 6: Final answer
    x = 4,520,973.53

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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.