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Finding the Third Proportional to 407,008 and 884,042

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Solution

The third proportional to 407,008 and 884,042 is: 1,920,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,008 : 884,042 = 884,042 : x
  2. Step 2: Convert to fraction form
    407,008/884,042 = 884,042/x
  3. Step 3: Cross multiply
    407,008x = 884,042 × 884,042
  4. Step 4: Simplify right side
    407,008x = 781,530,257,764
  5. Step 5: Solve for x
    x = 781,530,257,764/407,008
  6. Step 6: Final answer
    x = 1,920,184.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.