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Finding the Third Proportional to 695,105 and 1,523,071

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Solution

The third proportional to 695,105 and 1,523,071 is: 3,337,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,105 : 1,523,071 = 1,523,071 : x
  2. Step 2: Convert to fraction form
    695,105/1,523,071 = 1,523,071/x
  3. Step 3: Cross multiply
    695,105x = 1,523,071 × 1,523,071
  4. Step 4: Simplify right side
    695,105x = 2,319,745,271,041
  5. Step 5: Solve for x
    x = 2,319,745,271,041/695,105
  6. Step 6: Final answer
    x = 3,337,258.79

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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.