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Finding the Third Proportional to 452,207 and 941,623

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Solution

The third proportional to 452,207 and 941,623 is: 1,960,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,207 : 941,623 = 941,623 : x
  2. Step 2: Convert to fraction form
    452,207/941,623 = 941,623/x
  3. Step 3: Cross multiply
    452,207x = 941,623 × 941,623
  4. Step 4: Simplify right side
    452,207x = 886,653,874,129
  5. Step 5: Solve for x
    x = 886,653,874,129/452,207
  6. Step 6: Final answer
    x = 1,960,725.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.