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Finding the Third Proportional to 439,652 and 947,560

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Solution

The third proportional to 439,652 and 947,560 is: 2,042,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,652 : 947,560 = 947,560 : x
  2. Step 2: Convert to fraction form
    439,652/947,560 = 947,560/x
  3. Step 3: Cross multiply
    439,652x = 947,560 × 947,560
  4. Step 4: Simplify right side
    439,652x = 897,869,953,600
  5. Step 5: Solve for x
    x = 897,869,953,600/439,652
  6. Step 6: Final answer
    x = 2,042,228.75

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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.