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Finding the Third Proportional to 971,036 and 1,519,936

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Solution

The third proportional to 971,036 and 1,519,936 is: 2,379,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,036 : 1,519,936 = 1,519,936 : x
  2. Step 2: Convert to fraction form
    971,036/1,519,936 = 1,519,936/x
  3. Step 3: Cross multiply
    971,036x = 1,519,936 × 1,519,936
  4. Step 4: Simplify right side
    971,036x = 2,310,205,444,096
  5. Step 5: Solve for x
    x = 2,310,205,444,096/971,036
  6. Step 6: Final answer
    x = 2,379,114.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.