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Finding the Third Proportional to 395,326 and 846,416

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Solution

The third proportional to 395,326 and 846,416 is: 1,812,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,326 : 846,416 = 846,416 : x
  2. Step 2: Convert to fraction form
    395,326/846,416 = 846,416/x
  3. Step 3: Cross multiply
    395,326x = 846,416 × 846,416
  4. Step 4: Simplify right side
    395,326x = 716,420,045,056
  5. Step 5: Solve for x
    x = 716,420,045,056/395,326
  6. Step 6: Final answer
    x = 1,812,225.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.