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Finding the Third Proportional to 406,576 and 891,668

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Solution

The third proportional to 406,576 and 891,668 is: 1,955,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,576 : 891,668 = 891,668 : x
  2. Step 2: Convert to fraction form
    406,576/891,668 = 891,668/x
  3. Step 3: Cross multiply
    406,576x = 891,668 × 891,668
  4. Step 4: Simplify right side
    406,576x = 795,071,822,224
  5. Step 5: Solve for x
    x = 795,071,822,224/406,576
  6. Step 6: Final answer
    x = 1,955,530.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.