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Finding the Third Proportional to 834,427.41 and 1,713,090.09

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Solution

The third proportional to 834,427.41 and 1,713,090.09 is: 3,516,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,427.41 : 1,713,090.09 = 1,713,090.09 : x
  2. Step 2: Convert to fraction form
    834,427.41/1,713,090.09 = 1,713,090.09/x
  3. Step 3: Cross multiply
    834,427.41x = 1,713,090.09 × 1,713,090.09
  4. Step 4: Simplify right side
    834,427.41x = 2,934,677,669,304.38
  5. Step 5: Solve for x
    x = 2,934,677,669,304.38/834,427.41
  6. Step 6: Final answer
    x = 3,516,995.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.