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Finding the Third Proportional to 432,871 and 939,674

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Solution

The third proportional to 432,871 and 939,674 is: 2,039,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,871 : 939,674 = 939,674 : x
  2. Step 2: Convert to fraction form
    432,871/939,674 = 939,674/x
  3. Step 3: Cross multiply
    432,871x = 939,674 × 939,674
  4. Step 4: Simplify right side
    432,871x = 882,987,226,276
  5. Step 5: Solve for x
    x = 882,987,226,276/432,871
  6. Step 6: Final answer
    x = 2,039,839.18

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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.