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Finding the Third Proportional to 722,844 and 966,006

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Solution

The third proportional to 722,844 and 966,006 is: 1,290,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,844 : 966,006 = 966,006 : x
  2. Step 2: Convert to fraction form
    722,844/966,006 = 966,006/x
  3. Step 3: Cross multiply
    722,844x = 966,006 × 966,006
  4. Step 4: Simplify right side
    722,844x = 933,167,592,036
  5. Step 5: Solve for x
    x = 933,167,592,036/722,844
  6. Step 6: Final answer
    x = 1,290,966.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.