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Finding the Third Proportional to 832,012 and 1,796,742

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Solution

The third proportional to 832,012 and 1,796,742 is: 3,880,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,012 : 1,796,742 = 1,796,742 : x
  2. Step 2: Convert to fraction form
    832,012/1,796,742 = 1,796,742/x
  3. Step 3: Cross multiply
    832,012x = 1,796,742 × 1,796,742
  4. Step 4: Simplify right side
    832,012x = 3,228,281,814,564
  5. Step 5: Solve for x
    x = 3,228,281,814,564/832,012
  6. Step 6: Final answer
    x = 3,880,090.45

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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.