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Finding the Third Proportional to 996,709 and 2,135,034

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Solution

The third proportional to 996,709 and 2,135,034 is: 4,573,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,709 : 2,135,034 = 2,135,034 : x
  2. Step 2: Convert to fraction form
    996,709/2,135,034 = 2,135,034/x
  3. Step 3: Cross multiply
    996,709x = 2,135,034 × 2,135,034
  4. Step 4: Simplify right side
    996,709x = 4,558,370,181,156
  5. Step 5: Solve for x
    x = 4,558,370,181,156/996,709
  6. Step 6: Final answer
    x = 4,573,421.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.