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Finding the Third Proportional to 438,308 and 943,196

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Solution

The third proportional to 438,308 and 943,196 is: 2,029,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,308 : 943,196 = 943,196 : x
  2. Step 2: Convert to fraction form
    438,308/943,196 = 943,196/x
  3. Step 3: Cross multiply
    438,308x = 943,196 × 943,196
  4. Step 4: Simplify right side
    438,308x = 889,618,694,416
  5. Step 5: Solve for x
    x = 889,618,694,416/438,308
  6. Step 6: Final answer
    x = 2,029,665.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.