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Finding the Third Proportional to 1,925,768.25 and 2,980,266.75

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Solution

The third proportional to 1,925,768.25 and 2,980,266.75 is: 4,612,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,768.25 : 2,980,266.75 = 2,980,266.75 : x
  2. Step 2: Convert to fraction form
    1,925,768.25/2,980,266.75 = 2,980,266.75/x
  3. Step 3: Cross multiply
    1,925,768.25x = 2,980,266.75 × 2,980,266.75
  4. Step 4: Simplify right side
    1,925,768.25x = 8,881,989,901,155.56
  5. Step 5: Solve for x
    x = 8,881,989,901,155.56/1,925,768.25
  6. Step 6: Final answer
    x = 4,612,180.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.