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Finding the Third Proportional to 440,566 and 938,736

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Solution

The third proportional to 440,566 and 938,736 is: 2,000,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,566 : 938,736 = 938,736 : x
  2. Step 2: Convert to fraction form
    440,566/938,736 = 938,736/x
  3. Step 3: Cross multiply
    440,566x = 938,736 × 938,736
  4. Step 4: Simplify right side
    440,566x = 881,225,277,696
  5. Step 5: Solve for x
    x = 881,225,277,696/440,566
  6. Step 6: Final answer
    x = 2,000,211.72

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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.