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Finding the Third Proportional to 434,470 and 908,630

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Solution

The third proportional to 434,470 and 908,630 is: 1,900,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,470 : 908,630 = 908,630 : x
  2. Step 2: Convert to fraction form
    434,470/908,630 = 908,630/x
  3. Step 3: Cross multiply
    434,470x = 908,630 × 908,630
  4. Step 4: Simplify right side
    434,470x = 825,608,476,900
  5. Step 5: Solve for x
    x = 825,608,476,900/434,470
  6. Step 6: Final answer
    x = 1,900,265.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.