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Finding the Third Proportional to 965,987 and 2,098,049

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Solution

The third proportional to 965,987 and 2,098,049 is: 4,556,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,987 : 2,098,049 = 2,098,049 : x
  2. Step 2: Convert to fraction form
    965,987/2,098,049 = 2,098,049/x
  3. Step 3: Cross multiply
    965,987x = 2,098,049 × 2,098,049
  4. Step 4: Simplify right side
    965,987x = 4,401,809,606,401
  5. Step 5: Solve for x
    x = 4,401,809,606,401/965,987
  6. Step 6: Final answer
    x = 4,556,800.05

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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.