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Finding the Third Proportional to 696,844 and 1,526,546

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Solution

The third proportional to 696,844 and 1,526,546 is: 3,344,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,844 : 1,526,546 = 1,526,546 : x
  2. Step 2: Convert to fraction form
    696,844/1,526,546 = 1,526,546/x
  3. Step 3: Cross multiply
    696,844x = 1,526,546 × 1,526,546
  4. Step 4: Simplify right side
    696,844x = 2,330,342,690,116
  5. Step 5: Solve for x
    x = 2,330,342,690,116/696,844
  6. Step 6: Final answer
    x = 3,344,138.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.