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Finding the Third Proportional to 831,173 and 1,817,865

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Solution

The third proportional to 831,173 and 1,817,865 is: 3,975,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,173 : 1,817,865 = 1,817,865 : x
  2. Step 2: Convert to fraction form
    831,173/1,817,865 = 1,817,865/x
  3. Step 3: Cross multiply
    831,173x = 1,817,865 × 1,817,865
  4. Step 4: Simplify right side
    831,173x = 3,304,633,158,225
  5. Step 5: Solve for x
    x = 3,304,633,158,225/831,173
  6. Step 6: Final answer
    x = 3,975,866.83

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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.