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Finding the Third Proportional to 857,719 and 1,829,436

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Solution

The third proportional to 857,719 and 1,829,436 is: 3,902,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,719 : 1,829,436 = 1,829,436 : x
  2. Step 2: Convert to fraction form
    857,719/1,829,436 = 1,829,436/x
  3. Step 3: Cross multiply
    857,719x = 1,829,436 × 1,829,436
  4. Step 4: Simplify right side
    857,719x = 3,346,836,078,096
  5. Step 5: Solve for x
    x = 3,346,836,078,096/857,719
  6. Step 6: Final answer
    x = 3,902,019.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.