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Finding the Third Proportional to 450,696 and 913,837

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Solution

The third proportional to 450,696 and 913,837 is: 1,852,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,696 : 913,837 = 913,837 : x
  2. Step 2: Convert to fraction form
    450,696/913,837 = 913,837/x
  3. Step 3: Cross multiply
    450,696x = 913,837 × 913,837
  4. Step 4: Simplify right side
    450,696x = 835,098,062,569
  5. Step 5: Solve for x
    x = 835,098,062,569/450,696
  6. Step 6: Final answer
    x = 1,852,907.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.