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Finding the Third Proportional to 831,087 and 1,793,394

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Solution

The third proportional to 831,087 and 1,793,394 is: 3,869,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,087 : 1,793,394 = 1,793,394 : x
  2. Step 2: Convert to fraction form
    831,087/1,793,394 = 1,793,394/x
  3. Step 3: Cross multiply
    831,087x = 1,793,394 × 1,793,394
  4. Step 4: Simplify right side
    831,087x = 3,216,262,039,236
  5. Step 5: Solve for x
    x = 3,216,262,039,236/831,087
  6. Step 6: Final answer
    x = 3,869,946.27

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Why These Related Problems?

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