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Finding the Third Proportional to 3,190,257.56 and 4,903,653.94

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Solution

The third proportional to 3,190,257.56 and 4,903,653.94 is: 7,537,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,257.56 : 4,903,653.94 = 4,903,653.94 : x
  2. Step 2: Convert to fraction form
    3,190,257.56/4,903,653.94 = 4,903,653.94/x
  3. Step 3: Cross multiply
    3,190,257.56x = 4,903,653.94 × 4,903,653.94
  4. Step 4: Simplify right side
    3,190,257.56x = 24,045,821,938,759.25
  5. Step 5: Solve for x
    x = 24,045,821,938,759.25/3,190,257.56
  6. Step 6: Final answer
    x = 7,537,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.