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Finding the Third Proportional to 454,752 and 981,888

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Solution

The third proportional to 454,752 and 981,888 is: 2,120,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,752 : 981,888 = 981,888 : x
  2. Step 2: Convert to fraction form
    454,752/981,888 = 981,888/x
  3. Step 3: Cross multiply
    454,752x = 981,888 × 981,888
  4. Step 4: Simplify right side
    454,752x = 964,104,044,544
  5. Step 5: Solve for x
    x = 964,104,044,544/454,752
  6. Step 6: Final answer
    x = 2,120,065.54

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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.