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Finding the Third Proportional to 428,169 and 932,620

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Solution

The third proportional to 428,169 and 932,620 is: 2,031,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,169 : 932,620 = 932,620 : x
  2. Step 2: Convert to fraction form
    428,169/932,620 = 932,620/x
  3. Step 3: Cross multiply
    428,169x = 932,620 × 932,620
  4. Step 4: Simplify right side
    428,169x = 869,780,064,400
  5. Step 5: Solve for x
    x = 869,780,064,400/428,169
  6. Step 6: Final answer
    x = 2,031,394.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.