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Finding the Third Proportional to 641,277 and 901,944

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Solution

The third proportional to 641,277 and 901,944 is: 1,268,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,277 : 901,944 = 901,944 : x
  2. Step 2: Convert to fraction form
    641,277/901,944 = 901,944/x
  3. Step 3: Cross multiply
    641,277x = 901,944 × 901,944
  4. Step 4: Simplify right side
    641,277x = 813,502,979,136
  5. Step 5: Solve for x
    x = 813,502,979,136/641,277
  6. Step 6: Final answer
    x = 1,268,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.