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Finding the Third Proportional to 427,166 and 939,597

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Solution

The third proportional to 427,166 and 939,597 is: 2,066,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,166 : 939,597 = 939,597 : x
  2. Step 2: Convert to fraction form
    427,166/939,597 = 939,597/x
  3. Step 3: Cross multiply
    427,166x = 939,597 × 939,597
  4. Step 4: Simplify right side
    427,166x = 882,842,522,409
  5. Step 5: Solve for x
    x = 882,842,522,409/427,166
  6. Step 6: Final answer
    x = 2,066,743.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.