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Finding the Third Proportional to 985,933 and 2,121,311

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Solution

The third proportional to 985,933 and 2,121,311 is: 4,564,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,933 : 2,121,311 = 2,121,311 : x
  2. Step 2: Convert to fraction form
    985,933/2,121,311 = 2,121,311/x
  3. Step 3: Cross multiply
    985,933x = 2,121,311 × 2,121,311
  4. Step 4: Simplify right side
    985,933x = 4,499,960,358,721
  5. Step 5: Solve for x
    x = 4,499,960,358,721/985,933
  6. Step 6: Final answer
    x = 4,564,164.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.