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Finding the Third Proportional to 965,983 and 2,098,041

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Solution

The third proportional to 965,983 and 2,098,041 is: 4,556,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,983 : 2,098,041 = 2,098,041 : x
  2. Step 2: Convert to fraction form
    965,983/2,098,041 = 2,098,041/x
  3. Step 3: Cross multiply
    965,983x = 2,098,041 × 2,098,041
  4. Step 4: Simplify right side
    965,983x = 4,401,776,037,681
  5. Step 5: Solve for x
    x = 4,401,776,037,681/965,983
  6. Step 6: Final answer
    x = 4,556,784.16

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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.