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Finding the Third Proportional to 996,971 and 2,193,226

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Solution

The third proportional to 996,971 and 2,193,226 is: 4,824,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,971 : 2,193,226 = 2,193,226 : x
  2. Step 2: Convert to fraction form
    996,971/2,193,226 = 2,193,226/x
  3. Step 3: Cross multiply
    996,971x = 2,193,226 × 2,193,226
  4. Step 4: Simplify right side
    996,971x = 4,810,240,287,076
  5. Step 5: Solve for x
    x = 4,810,240,287,076/996,971
  6. Step 6: Final answer
    x = 4,824,854.77

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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.