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Finding the Third Proportional to 406,620 and 892,008

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Solution

The third proportional to 406,620 and 892,008 is: 1,956,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620 : 892,008 = 892,008 : x
  2. Step 2: Convert to fraction form
    406,620/892,008 = 892,008/x
  3. Step 3: Cross multiply
    406,620x = 892,008 × 892,008
  4. Step 4: Simplify right side
    406,620x = 795,678,272,064
  5. Step 5: Solve for x
    x = 795,678,272,064/406,620
  6. Step 6: Final answer
    x = 1,956,810.47

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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.