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Finding the Third Proportional to 450,700 and 913,845

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Solution

The third proportional to 450,700 and 913,845 is: 1,852,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,700 : 913,845 = 913,845 : x
  2. Step 2: Convert to fraction form
    450,700/913,845 = 913,845/x
  3. Step 3: Cross multiply
    450,700x = 913,845 × 913,845
  4. Step 4: Simplify right side
    450,700x = 835,112,684,025
  5. Step 5: Solve for x
    x = 835,112,684,025/450,700
  6. Step 6: Final answer
    x = 1,852,923.64

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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.