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Finding the Third Proportional to 441,662 and 953,308

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Solution

The third proportional to 441,662 and 953,308 is: 2,057,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,662 : 953,308 = 953,308 : x
  2. Step 2: Convert to fraction form
    441,662/953,308 = 953,308/x
  3. Step 3: Cross multiply
    441,662x = 953,308 × 953,308
  4. Step 4: Simplify right side
    441,662x = 908,796,142,864
  5. Step 5: Solve for x
    x = 908,796,142,864/441,662
  6. Step 6: Final answer
    x = 2,057,673.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.