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Finding the Third Proportional to 883,314 and 1,906,594

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Solution

The third proportional to 883,314 and 1,906,594 is: 4,115,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,314 : 1,906,594 = 1,906,594 : x
  2. Step 2: Convert to fraction form
    883,314/1,906,594 = 1,906,594/x
  3. Step 3: Cross multiply
    883,314x = 1,906,594 × 1,906,594
  4. Step 4: Simplify right side
    883,314x = 3,635,100,680,836
  5. Step 5: Solve for x
    x = 3,635,100,680,836/883,314
  6. Step 6: Final answer
    x = 4,115,298.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.