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Finding the Third Proportional to 996,930 and 1,495,027

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Solution

The third proportional to 996,930 and 1,495,027 is: 2,241,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,930 : 1,495,027 = 1,495,027 : x
  2. Step 2: Convert to fraction form
    996,930/1,495,027 = 1,495,027/x
  3. Step 3: Cross multiply
    996,930x = 1,495,027 × 1,495,027
  4. Step 4: Simplify right side
    996,930x = 2,235,105,730,729
  5. Step 5: Solve for x
    x = 2,235,105,730,729/996,930
  6. Step 6: Final answer
    x = 2,241,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.