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Finding the Third Proportional to 639,258 and 1,378,147.50

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Solution

The third proportional to 639,258 and 1,378,147.50 is: 2,971,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,258 : 1,378,147.50 = 1,378,147.50 : x
  2. Step 2: Convert to fraction form
    639,258/1,378,147.50 = 1,378,147.50/x
  3. Step 3: Cross multiply
    639,258x = 1,378,147.50 × 1,378,147.50
  4. Step 4: Simplify right side
    639,258x = 1,899,290,531,756.25
  5. Step 5: Solve for x
    x = 1,899,290,531,756.25/639,258
  6. Step 6: Final answer
    x = 2,971,086.06

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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.