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Finding the Third Proportional to 968,165 and 2,104,240

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Solution

The third proportional to 968,165 and 2,104,240 is: 4,573,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,165 : 2,104,240 = 2,104,240 : x
  2. Step 2: Convert to fraction form
    968,165/2,104,240 = 2,104,240/x
  3. Step 3: Cross multiply
    968,165x = 2,104,240 × 2,104,240
  4. Step 4: Simplify right side
    968,165x = 4,427,825,977,600
  5. Step 5: Solve for x
    x = 4,427,825,977,600/968,165
  6. Step 6: Final answer
    x = 4,573,420.83

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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.