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Finding the Third Proportional to 1,831,845 and 3,915,786

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Solution

The third proportional to 1,831,845 and 3,915,786 is: 8,370,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,845 : 3,915,786 = 3,915,786 : x
  2. Step 2: Convert to fraction form
    1,831,845/3,915,786 = 3,915,786/x
  3. Step 3: Cross multiply
    1,831,845x = 3,915,786 × 3,915,786
  4. Step 4: Simplify right side
    1,831,845x = 15,333,379,997,796
  5. Step 5: Solve for x
    x = 15,333,379,997,796/1,831,845
  6. Step 6: Final answer
    x = 8,370,457.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.