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Finding the Third Proportional to 432,669 and 939,970

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Solution

The third proportional to 432,669 and 939,970 is: 2,042,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,669 : 939,970 = 939,970 : x
  2. Step 2: Convert to fraction form
    432,669/939,970 = 939,970/x
  3. Step 3: Cross multiply
    432,669x = 939,970 × 939,970
  4. Step 4: Simplify right side
    432,669x = 883,543,600,900
  5. Step 5: Solve for x
    x = 883,543,600,900/432,669
  6. Step 6: Final answer
    x = 2,042,077.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.