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Finding the Third Proportional to 407,824 and 896,326

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Solution

The third proportional to 407,824 and 896,326 is: 1,969,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,824 : 896,326 = 896,326 : x
  2. Step 2: Convert to fraction form
    407,824/896,326 = 896,326/x
  3. Step 3: Cross multiply
    407,824x = 896,326 × 896,326
  4. Step 4: Simplify right side
    407,824x = 803,400,298,276
  5. Step 5: Solve for x
    x = 803,400,298,276/407,824
  6. Step 6: Final answer
    x = 1,969,968.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.