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Finding the Third Proportional to 981,196 and 1,439,484

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Solution

The third proportional to 981,196 and 1,439,484 is: 2,111,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,196 : 1,439,484 = 1,439,484 : x
  2. Step 2: Convert to fraction form
    981,196/1,439,484 = 1,439,484/x
  3. Step 3: Cross multiply
    981,196x = 1,439,484 × 1,439,484
  4. Step 4: Simplify right side
    981,196x = 2,072,114,186,256
  5. Step 5: Solve for x
    x = 2,072,114,186,256/981,196
  6. Step 6: Final answer
    x = 2,111,824.94

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