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Finding the Third Proportional to 434,948 and 958,197

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Solution

The third proportional to 434,948 and 958,197 is: 2,110,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,948 : 958,197 = 958,197 : x
  2. Step 2: Convert to fraction form
    434,948/958,197 = 958,197/x
  3. Step 3: Cross multiply
    434,948x = 958,197 × 958,197
  4. Step 4: Simplify right side
    434,948x = 918,141,490,809
  5. Step 5: Solve for x
    x = 918,141,490,809/434,948
  6. Step 6: Final answer
    x = 2,110,922.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.