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Finding the Third Proportional to 808,746 and 1,731,096

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Solution

The third proportional to 808,746 and 1,731,096 is: 3,705,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,746 : 1,731,096 = 1,731,096 : x
  2. Step 2: Convert to fraction form
    808,746/1,731,096 = 1,731,096/x
  3. Step 3: Cross multiply
    808,746x = 1,731,096 × 1,731,096
  4. Step 4: Simplify right side
    808,746x = 2,996,693,361,216
  5. Step 5: Solve for x
    x = 2,996,693,361,216/808,746
  6. Step 6: Final answer
    x = 3,705,357.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.