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Finding the Third Proportional to 832,009 and 1,796,737

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Solution

The third proportional to 832,009 and 1,796,737 is: 3,880,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,009 : 1,796,737 = 1,796,737 : x
  2. Step 2: Convert to fraction form
    832,009/1,796,737 = 1,796,737/x
  3. Step 3: Cross multiply
    832,009x = 1,796,737 × 1,796,737
  4. Step 4: Simplify right side
    832,009x = 3,228,263,847,169
  5. Step 5: Solve for x
    x = 3,228,263,847,169/832,009
  6. Step 6: Final answer
    x = 3,880,082.84

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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.