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Finding the Third Proportional to 944,020 and 1,451,867

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Solution

The third proportional to 944,020 and 1,451,867 is: 2,232,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,020 : 1,451,867 = 1,451,867 : x
  2. Step 2: Convert to fraction form
    944,020/1,451,867 = 1,451,867/x
  3. Step 3: Cross multiply
    944,020x = 1,451,867 × 1,451,867
  4. Step 4: Simplify right side
    944,020x = 2,107,917,785,689
  5. Step 5: Solve for x
    x = 2,107,917,785,689/944,020
  6. Step 6: Final answer
    x = 2,232,916.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.