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Finding the Third Proportional to 966,964 and 2,100,032

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Solution

The third proportional to 966,964 and 2,100,032 is: 4,560,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,964 : 2,100,032 = 2,100,032 : x
  2. Step 2: Convert to fraction form
    966,964/2,100,032 = 2,100,032/x
  3. Step 3: Cross multiply
    966,964x = 2,100,032 × 2,100,032
  4. Step 4: Simplify right side
    966,964x = 4,410,134,401,024
  5. Step 5: Solve for x
    x = 4,410,134,401,024/966,964
  6. Step 6: Final answer
    x = 4,560,805.16

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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.