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Finding the Third Proportional to 450,714 and 913,872

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Solution

The third proportional to 450,714 and 913,872 is: 1,852,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,714 : 913,872 = 913,872 : x
  2. Step 2: Convert to fraction form
    450,714/913,872 = 913,872/x
  3. Step 3: Cross multiply
    450,714x = 913,872 × 913,872
  4. Step 4: Simplify right side
    450,714x = 835,162,032,384
  5. Step 5: Solve for x
    x = 835,162,032,384/450,714
  6. Step 6: Final answer
    x = 1,852,975.57

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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.