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Finding the Third Proportional to 832,007 and 1,796,733

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Solution

The third proportional to 832,007 and 1,796,733 is: 3,880,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,007 : 1,796,733 = 1,796,733 : x
  2. Step 2: Convert to fraction form
    832,007/1,796,733 = 1,796,733/x
  3. Step 3: Cross multiply
    832,007x = 1,796,733 × 1,796,733
  4. Step 4: Simplify right side
    832,007x = 3,228,249,473,289
  5. Step 5: Solve for x
    x = 3,228,249,473,289/832,007
  6. Step 6: Final answer
    x = 3,880,074.90

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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.