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Finding the Third Proportional to 831,100 and 1,819,842

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Solution

The third proportional to 831,100 and 1,819,842 is: 3,984,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,100 : 1,819,842 = 1,819,842 : x
  2. Step 2: Convert to fraction form
    831,100/1,819,842 = 1,819,842/x
  3. Step 3: Cross multiply
    831,100x = 1,819,842 × 1,819,842
  4. Step 4: Simplify right side
    831,100x = 3,311,824,904,964
  5. Step 5: Solve for x
    x = 3,311,824,904,964/831,100
  6. Step 6: Final answer
    x = 3,984,869.34

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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.