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Finding the Third Proportional to 965,160 and 2,120,670

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Solution

The third proportional to 965,160 and 2,120,670 is: 4,659,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,160 : 2,120,670 = 2,120,670 : x
  2. Step 2: Convert to fraction form
    965,160/2,120,670 = 2,120,670/x
  3. Step 3: Cross multiply
    965,160x = 2,120,670 × 2,120,670
  4. Step 4: Simplify right side
    965,160x = 4,497,241,248,900
  5. Step 5: Solve for x
    x = 4,497,241,248,900/965,160
  6. Step 6: Final answer
    x = 4,659,581.05

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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.