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Finding the Third Proportional to 947,214 and 2,029,536

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Solution

The third proportional to 947,214 and 2,029,536 is: 4,348,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,214 : 2,029,536 = 2,029,536 : x
  2. Step 2: Convert to fraction form
    947,214/2,029,536 = 2,029,536/x
  3. Step 3: Cross multiply
    947,214x = 2,029,536 × 2,029,536
  4. Step 4: Simplify right side
    947,214x = 4,119,016,375,296
  5. Step 5: Solve for x
    x = 4,119,016,375,296/947,214
  6. Step 6: Final answer
    x = 4,348,559.43

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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.