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Finding the Third Proportional to 1,290,607.75 and 2,783,272.75

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Solution

The third proportional to 1,290,607.75 and 2,783,272.75 is: 6,002,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,607.75 : 2,783,272.75 = 2,783,272.75 : x
  2. Step 2: Convert to fraction form
    1,290,607.75/2,783,272.75 = 2,783,272.75/x
  3. Step 3: Cross multiply
    1,290,607.75x = 2,783,272.75 × 2,783,272.75
  4. Step 4: Simplify right side
    1,290,607.75x = 7,746,607,200,892.56
  5. Step 5: Solve for x
    x = 7,746,607,200,892.56/1,290,607.75
  6. Step 6: Final answer
    x = 6,002,294.04

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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.