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Finding the Third Proportional to 448,746 and 981,966

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Solution

The third proportional to 448,746 and 981,966 is: 2,148,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,746 : 981,966 = 981,966 : x
  2. Step 2: Convert to fraction form
    448,746/981,966 = 981,966/x
  3. Step 3: Cross multiply
    448,746x = 981,966 × 981,966
  4. Step 4: Simplify right side
    448,746x = 964,257,225,156
  5. Step 5: Solve for x
    x = 964,257,225,156/448,746
  6. Step 6: Final answer
    x = 2,148,781.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.