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Finding the Third Proportional to 981,504 and 2,117,664

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Solution

The third proportional to 981,504 and 2,117,664 is: 4,569,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,504 : 2,117,664 = 2,117,664 : x
  2. Step 2: Convert to fraction form
    981,504/2,117,664 = 2,117,664/x
  3. Step 3: Cross multiply
    981,504x = 2,117,664 × 2,117,664
  4. Step 4: Simplify right side
    981,504x = 4,484,500,816,896
  5. Step 5: Solve for x
    x = 4,484,500,816,896/981,504
  6. Step 6: Final answer
    x = 4,569,009.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.