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Finding the Third Proportional to 432,666 and 939,964

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Solution

The third proportional to 432,666 and 939,964 is: 2,042,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,666 : 939,964 = 939,964 : x
  2. Step 2: Convert to fraction form
    432,666/939,964 = 939,964/x
  3. Step 3: Cross multiply
    432,666x = 939,964 × 939,964
  4. Step 4: Simplify right side
    432,666x = 883,532,321,296
  5. Step 5: Solve for x
    x = 883,532,321,296/432,666
  6. Step 6: Final answer
    x = 2,042,065.52

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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.