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Finding the Third Proportional to 1,909,740 and 2,761,820.25

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Solution

The third proportional to 1,909,740 and 2,761,820.25 is: 3,994,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,740 : 2,761,820.25 = 2,761,820.25 : x
  2. Step 2: Convert to fraction form
    1,909,740/2,761,820.25 = 2,761,820.25/x
  3. Step 3: Cross multiply
    1,909,740x = 2,761,820.25 × 2,761,820.25
  4. Step 4: Simplify right side
    1,909,740x = 7,627,651,093,310.06
  5. Step 5: Solve for x
    x = 7,627,651,093,310.06/1,909,740
  6. Step 6: Final answer
    x = 3,994,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.