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Finding the Third Proportional to 432,237 and 948,549

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Solution

The third proportional to 432,237 and 948,549 is: 2,081,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,237 : 948,549 = 948,549 : x
  2. Step 2: Convert to fraction form
    432,237/948,549 = 948,549/x
  3. Step 3: Cross multiply
    432,237x = 948,549 × 948,549
  4. Step 4: Simplify right side
    432,237x = 899,745,205,401
  5. Step 5: Solve for x
    x = 899,745,205,401/432,237
  6. Step 6: Final answer
    x = 2,081,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.