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Finding the Third Proportional to 536,546.53 and 1,166,280.19

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Solution

The third proportional to 536,546.53 and 1,166,280.19 is: 2,535,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,546.53 : 1,166,280.19 = 1,166,280.19 : x
  2. Step 2: Convert to fraction form
    536,546.53/1,166,280.19 = 1,166,280.19/x
  3. Step 3: Cross multiply
    536,546.53x = 1,166,280.19 × 1,166,280.19
  4. Step 4: Simplify right side
    536,546.53x = 1,360,209,475,755.04
  5. Step 5: Solve for x
    x = 1,360,209,475,755.04/536,546.53
  6. Step 6: Final answer
    x = 2,535,119.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.