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Finding the Third Proportional to 707,844 and 1,533,759

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Solution

The third proportional to 707,844 and 1,533,759 is: 3,323,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,844 : 1,533,759 = 1,533,759 : x
  2. Step 2: Convert to fraction form
    707,844/1,533,759 = 1,533,759/x
  3. Step 3: Cross multiply
    707,844x = 1,533,759 × 1,533,759
  4. Step 4: Simplify right side
    707,844x = 2,352,416,670,081
  5. Step 5: Solve for x
    x = 2,352,416,670,081/707,844
  6. Step 6: Final answer
    x = 3,323,354.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.