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Finding the Third Proportional to 462,207 and 969,126

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Solution

The third proportional to 462,207 and 969,126 is: 2,032,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,207 : 969,126 = 969,126 : x
  2. Step 2: Convert to fraction form
    462,207/969,126 = 969,126/x
  3. Step 3: Cross multiply
    462,207x = 969,126 × 969,126
  4. Step 4: Simplify right side
    462,207x = 939,205,203,876
  5. Step 5: Solve for x
    x = 939,205,203,876/462,207
  6. Step 6: Final answer
    x = 2,032,001.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.