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Finding the Third Proportional to 905,298 and 1,884,954

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Solution

The third proportional to 905,298 and 1,884,954 is: 3,924,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,298 : 1,884,954 = 1,884,954 : x
  2. Step 2: Convert to fraction form
    905,298/1,884,954 = 1,884,954/x
  3. Step 3: Cross multiply
    905,298x = 1,884,954 × 1,884,954
  4. Step 4: Simplify right side
    905,298x = 3,553,051,582,116
  5. Step 5: Solve for x
    x = 3,553,051,582,116/905,298
  6. Step 6: Final answer
    x = 3,924,731.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.