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Finding the Third Proportional to 966,174 and 1,312,027

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Solution

The third proportional to 966,174 and 1,312,027 is: 1,781,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,174 : 1,312,027 = 1,312,027 : x
  2. Step 2: Convert to fraction form
    966,174/1,312,027 = 1,312,027/x
  3. Step 3: Cross multiply
    966,174x = 1,312,027 × 1,312,027
  4. Step 4: Simplify right side
    966,174x = 1,721,414,848,729
  5. Step 5: Solve for x
    x = 1,721,414,848,729/966,174
  6. Step 6: Final answer
    x = 1,781,682.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.