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Finding the Third Proportional to 1,346,748.75 and 2,907,155.25

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Solution

The third proportional to 1,346,748.75 and 2,907,155.25 is: 6,275,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,748.75 : 2,907,155.25 = 2,907,155.25 : x
  2. Step 2: Convert to fraction form
    1,346,748.75/2,907,155.25 = 2,907,155.25/x
  3. Step 3: Cross multiply
    1,346,748.75x = 2,907,155.25 × 2,907,155.25
  4. Step 4: Simplify right side
    1,346,748.75x = 8,451,551,647,602.56
  5. Step 5: Solve for x
    x = 8,451,551,647,602.56/1,346,748.75
  6. Step 6: Final answer
    x = 6,275,522.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.