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Finding the Third Proportional to 902,733 and 1,947,654

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Solution

The third proportional to 902,733 and 1,947,654 is: 4,202,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,733 : 1,947,654 = 1,947,654 : x
  2. Step 2: Convert to fraction form
    902,733/1,947,654 = 1,947,654/x
  3. Step 3: Cross multiply
    902,733x = 1,947,654 × 1,947,654
  4. Step 4: Simplify right side
    902,733x = 3,793,356,103,716
  5. Step 5: Solve for x
    x = 3,793,356,103,716/902,733
  6. Step 6: Final answer
    x = 4,202,079.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.