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Finding the Third Proportional to 840,096 and 1,266,219

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Solution

The third proportional to 840,096 and 1,266,219 is: 1,908,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,096 : 1,266,219 = 1,266,219 : x
  2. Step 2: Convert to fraction form
    840,096/1,266,219 = 1,266,219/x
  3. Step 3: Cross multiply
    840,096x = 1,266,219 × 1,266,219
  4. Step 4: Simplify right side
    840,096x = 1,603,310,555,961
  5. Step 5: Solve for x
    x = 1,603,310,555,961/840,096
  6. Step 6: Final answer
    x = 1,908,484.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.