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Finding the Third Proportional to 595,456 and 1,284,200

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Solution

The third proportional to 595,456 and 1,284,200 is: 2,769,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,456 : 1,284,200 = 1,284,200 : x
  2. Step 2: Convert to fraction form
    595,456/1,284,200 = 1,284,200/x
  3. Step 3: Cross multiply
    595,456x = 1,284,200 × 1,284,200
  4. Step 4: Simplify right side
    595,456x = 1,649,169,640,000
  5. Step 5: Solve for x
    x = 1,649,169,640,000/595,456
  6. Step 6: Final answer
    x = 2,769,591.10

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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.