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Finding the Third Proportional to 488,756 and 1,035,400

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Solution

The third proportional to 488,756 and 1,035,400 is: 2,193,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,756 : 1,035,400 = 1,035,400 : x
  2. Step 2: Convert to fraction form
    488,756/1,035,400 = 1,035,400/x
  3. Step 3: Cross multiply
    488,756x = 1,035,400 × 1,035,400
  4. Step 4: Simplify right side
    488,756x = 1,072,053,160,000
  5. Step 5: Solve for x
    x = 1,072,053,160,000/488,756
  6. Step 6: Final answer
    x = 2,193,432.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.