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Finding the Third Proportional to 641,281 and 901,950

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Solution

The third proportional to 641,281 and 901,950 is: 1,268,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,281 : 901,950 = 901,950 : x
  2. Step 2: Convert to fraction form
    641,281/901,950 = 901,950/x
  3. Step 3: Cross multiply
    641,281x = 901,950 × 901,950
  4. Step 4: Simplify right side
    641,281x = 813,513,802,500
  5. Step 5: Solve for x
    x = 813,513,802,500/641,281
  6. Step 6: Final answer
    x = 1,268,576.18

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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.