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Finding the Third Proportional to 505,299 and 1,090,746

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Solution

The third proportional to 505,299 and 1,090,746 is: 2,354,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,299 : 1,090,746 = 1,090,746 : x
  2. Step 2: Convert to fraction form
    505,299/1,090,746 = 1,090,746/x
  3. Step 3: Cross multiply
    505,299x = 1,090,746 × 1,090,746
  4. Step 4: Simplify right side
    505,299x = 1,189,726,836,516
  5. Step 5: Solve for x
    x = 1,189,726,836,516/505,299
  6. Step 6: Final answer
    x = 2,354,500.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.