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Finding the Third Proportional to 966,608 and 2,099,356

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Solution

The third proportional to 966,608 and 2,099,356 is: 4,559,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,608 : 2,099,356 = 2,099,356 : x
  2. Step 2: Convert to fraction form
    966,608/2,099,356 = 2,099,356/x
  3. Step 3: Cross multiply
    966,608x = 2,099,356 × 2,099,356
  4. Step 4: Simplify right side
    966,608x = 4,407,295,614,736
  5. Step 5: Solve for x
    x = 4,407,295,614,736/966,608
  6. Step 6: Final answer
    x = 4,559,548.04

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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.