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Finding the Third Proportional to 738,879 and 1,591,740

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Solution

The third proportional to 738,879 and 1,591,740 is: 3,429,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,879 : 1,591,740 = 1,591,740 : x
  2. Step 2: Convert to fraction form
    738,879/1,591,740 = 1,591,740/x
  3. Step 3: Cross multiply
    738,879x = 1,591,740 × 1,591,740
  4. Step 4: Simplify right side
    738,879x = 2,533,636,227,600
  5. Step 5: Solve for x
    x = 2,533,636,227,600/738,879
  6. Step 6: Final answer
    x = 3,429,027.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.