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Finding the Third Proportional to 2,474,965 and 3,938,194.50

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Solution

The third proportional to 2,474,965 and 3,938,194.50 is: 6,266,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,965 : 3,938,194.50 = 3,938,194.50 : x
  2. Step 2: Convert to fraction form
    2,474,965/3,938,194.50 = 3,938,194.50/x
  3. Step 3: Cross multiply
    2,474,965x = 3,938,194.50 × 3,938,194.50
  4. Step 4: Simplify right side
    2,474,965x = 15,509,375,919,830.25
  5. Step 5: Solve for x
    x = 15,509,375,919,830.25/2,474,965
  6. Step 6: Final answer
    x = 6,266,503.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.