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Finding the Third Proportional to 669,284 and 981,606

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Solution

The third proportional to 669,284 and 981,606 is: 1,439,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,284 : 981,606 = 981,606 : x
  2. Step 2: Convert to fraction form
    669,284/981,606 = 981,606/x
  3. Step 3: Cross multiply
    669,284x = 981,606 × 981,606
  4. Step 4: Simplify right side
    669,284x = 963,550,339,236
  5. Step 5: Solve for x
    x = 963,550,339,236/669,284
  6. Step 6: Final answer
    x = 1,439,673.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.