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Finding the Third Proportional to 831,459 and 1,791,013

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Solution

The third proportional to 831,459 and 1,791,013 is: 3,857,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,459 : 1,791,013 = 1,791,013 : x
  2. Step 2: Convert to fraction form
    831,459/1,791,013 = 1,791,013/x
  3. Step 3: Cross multiply
    831,459x = 1,791,013 × 1,791,013
  4. Step 4: Simplify right side
    831,459x = 3,207,727,566,169
  5. Step 5: Solve for x
    x = 3,207,727,566,169/831,459
  6. Step 6: Final answer
    x = 3,857,950.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.