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Finding the Third Proportional to 960,694 and 2,069,838

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Solution

The third proportional to 960,694 and 2,069,838 is: 4,459,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,694 : 2,069,838 = 2,069,838 : x
  2. Step 2: Convert to fraction form
    960,694/2,069,838 = 2,069,838/x
  3. Step 3: Cross multiply
    960,694x = 2,069,838 × 2,069,838
  4. Step 4: Simplify right side
    960,694x = 4,284,229,346,244
  5. Step 5: Solve for x
    x = 4,284,229,346,244/960,694
  6. Step 6: Final answer
    x = 4,459,515.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.