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Finding the Third Proportional to 966,447 and 2,057,310

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Solution

The third proportional to 966,447 and 2,057,310 is: 4,379,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,447 : 2,057,310 = 2,057,310 : x
  2. Step 2: Convert to fraction form
    966,447/2,057,310 = 2,057,310/x
  3. Step 3: Cross multiply
    966,447x = 2,057,310 × 2,057,310
  4. Step 4: Simplify right side
    966,447x = 4,232,524,436,100
  5. Step 5: Solve for x
    x = 4,232,524,436,100/966,447
  6. Step 6: Final answer
    x = 4,379,468.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.