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Finding the Third Proportional to 440,169 and 938,469

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Solution

The third proportional to 440,169 and 938,469 is: 2,000,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,169 : 938,469 = 938,469 : x
  2. Step 2: Convert to fraction form
    440,169/938,469 = 938,469/x
  3. Step 3: Cross multiply
    440,169x = 938,469 × 938,469
  4. Step 4: Simplify right side
    440,169x = 880,724,063,961
  5. Step 5: Solve for x
    x = 880,724,063,961/440,169
  6. Step 6: Final answer
    x = 2,000,877.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.