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Finding the Third Proportional to 965,088 and 2,120,526

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Solution

The third proportional to 965,088 and 2,120,526 is: 4,659,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,088 : 2,120,526 = 2,120,526 : x
  2. Step 2: Convert to fraction form
    965,088/2,120,526 = 2,120,526/x
  3. Step 3: Cross multiply
    965,088x = 2,120,526 × 2,120,526
  4. Step 4: Simplify right side
    965,088x = 4,496,630,516,676
  5. Step 5: Solve for x
    x = 4,496,630,516,676/965,088
  6. Step 6: Final answer
    x = 4,659,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.