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Finding the Third Proportional to 906,770 and 1,900,595

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Solution

The third proportional to 906,770 and 1,900,595 is: 3,983,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,770 : 1,900,595 = 1,900,595 : x
  2. Step 2: Convert to fraction form
    906,770/1,900,595 = 1,900,595/x
  3. Step 3: Cross multiply
    906,770x = 1,900,595 × 1,900,595
  4. Step 4: Simplify right side
    906,770x = 3,612,261,354,025
  5. Step 5: Solve for x
    x = 3,612,261,354,025/906,770
  6. Step 6: Final answer
    x = 3,983,657.77

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