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Finding the Third Proportional to 406,468 and 934,858

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Solution

The third proportional to 406,468 and 934,858 is: 2,150,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,468 : 934,858 = 934,858 : x
  2. Step 2: Convert to fraction form
    406,468/934,858 = 934,858/x
  3. Step 3: Cross multiply
    406,468x = 934,858 × 934,858
  4. Step 4: Simplify right side
    406,468x = 873,959,480,164
  5. Step 5: Solve for x
    x = 873,959,480,164/406,468
  6. Step 6: Final answer
    x = 2,150,131.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.