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Finding the Third Proportional to 905,304 and 1,884,963

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Solution

The third proportional to 905,304 and 1,884,963 is: 3,924,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,304 : 1,884,963 = 1,884,963 : x
  2. Step 2: Convert to fraction form
    905,304/1,884,963 = 1,884,963/x
  3. Step 3: Cross multiply
    905,304x = 1,884,963 × 1,884,963
  4. Step 4: Simplify right side
    905,304x = 3,553,085,511,369
  5. Step 5: Solve for x
    x = 3,553,085,511,369/905,304
  6. Step 6: Final answer
    x = 3,924,742.97

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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.