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Finding the Third Proportional to 832,074 and 1,796,735

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Solution

The third proportional to 832,074 and 1,796,735 is: 3,879,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,074 : 1,796,735 = 1,796,735 : x
  2. Step 2: Convert to fraction form
    832,074/1,796,735 = 1,796,735/x
  3. Step 3: Cross multiply
    832,074x = 1,796,735 × 1,796,735
  4. Step 4: Simplify right side
    832,074x = 3,228,256,660,225
  5. Step 5: Solve for x
    x = 3,228,256,660,225/832,074
  6. Step 6: Final answer
    x = 3,879,771.10

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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.