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Finding the Third Proportional to 406,420.03 and 885,246.47

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Solution

The third proportional to 406,420.03 and 885,246.47 is: 1,928,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,420.03 : 885,246.47 = 885,246.47 : x
  2. Step 2: Convert to fraction form
    406,420.03/885,246.47 = 885,246.47/x
  3. Step 3: Cross multiply
    406,420.03x = 885,246.47 × 885,246.47
  4. Step 4: Simplify right side
    406,420.03x = 783,661,310,434.35
  5. Step 5: Solve for x
    x = 783,661,310,434.35/406,420.03
  6. Step 6: Final answer
    x = 1,928,205.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.