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Finding the Third Proportional to 831,171 and 1,817,862

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Solution

The third proportional to 831,171 and 1,817,862 is: 3,975,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,171 : 1,817,862 = 1,817,862 : x
  2. Step 2: Convert to fraction form
    831,171/1,817,862 = 1,817,862/x
  3. Step 3: Cross multiply
    831,171x = 1,817,862 × 1,817,862
  4. Step 4: Simplify right side
    831,171x = 3,304,622,251,044
  5. Step 5: Solve for x
    x = 3,304,622,251,044/831,171
  6. Step 6: Final answer
    x = 3,975,863.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.