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Finding the Third Proportional to 439,503 and 947,262

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Solution

The third proportional to 439,503 and 947,262 is: 2,041,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,503 : 947,262 = 947,262 : x
  2. Step 2: Convert to fraction form
    439,503/947,262 = 947,262/x
  3. Step 3: Cross multiply
    439,503x = 947,262 × 947,262
  4. Step 4: Simplify right side
    439,503x = 897,305,296,644
  5. Step 5: Solve for x
    x = 897,305,296,644/439,503
  6. Step 6: Final answer
    x = 2,041,636.34

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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.