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Finding the Third Proportional to 406,364 and 934,583

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Solution

The third proportional to 406,364 and 934,583 is: 2,149,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,364 : 934,583 = 934,583 : x
  2. Step 2: Convert to fraction form
    406,364/934,583 = 934,583/x
  3. Step 3: Cross multiply
    406,364x = 934,583 × 934,583
  4. Step 4: Simplify right side
    406,364x = 873,445,383,889
  5. Step 5: Solve for x
    x = 873,445,383,889/406,364
  6. Step 6: Final answer
    x = 2,149,416.25

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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.