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Finding the Third Proportional to 438,632 and 939,536

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Solution

The third proportional to 438,632 and 939,536 is: 2,012,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,632 : 939,536 = 939,536 : x
  2. Step 2: Convert to fraction form
    438,632/939,536 = 939,536/x
  3. Step 3: Cross multiply
    438,632x = 939,536 × 939,536
  4. Step 4: Simplify right side
    438,632x = 882,727,895,296
  5. Step 5: Solve for x
    x = 882,727,895,296/438,632
  6. Step 6: Final answer
    x = 2,012,456.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.