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Finding the Third Proportional to 949,657 and 2,079,420

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Solution

The third proportional to 949,657 and 2,079,420 is: 4,553,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,657 : 2,079,420 = 2,079,420 : x
  2. Step 2: Convert to fraction form
    949,657/2,079,420 = 2,079,420/x
  3. Step 3: Cross multiply
    949,657x = 2,079,420 × 2,079,420
  4. Step 4: Simplify right side
    949,657x = 4,323,987,536,400
  5. Step 5: Solve for x
    x = 4,323,987,536,400/949,657
  6. Step 6: Final answer
    x = 4,553,209.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.