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Finding the Third Proportional to 959,259 and 2,072,214

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Solution

The third proportional to 959,259 and 2,072,214 is: 4,476,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,259 : 2,072,214 = 2,072,214 : x
  2. Step 2: Convert to fraction form
    959,259/2,072,214 = 2,072,214/x
  3. Step 3: Cross multiply
    959,259x = 2,072,214 × 2,072,214
  4. Step 4: Simplify right side
    959,259x = 4,294,070,861,796
  5. Step 5: Solve for x
    x = 4,294,070,861,796/959,259
  6. Step 6: Final answer
    x = 4,476,445.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.