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Finding the Third Proportional to 666,136 and 981,564

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Solution

The third proportional to 666,136 and 981,564 is: 1,446,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,136 : 981,564 = 981,564 : x
  2. Step 2: Convert to fraction form
    666,136/981,564 = 981,564/x
  3. Step 3: Cross multiply
    666,136x = 981,564 × 981,564
  4. Step 4: Simplify right side
    666,136x = 963,467,886,096
  5. Step 5: Solve for x
    x = 963,467,886,096/666,136
  6. Step 6: Final answer
    x = 1,446,353.13

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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.