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Finding the Third Proportional to 902,924 and 1,880,583

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Solution

The third proportional to 902,924 and 1,880,583 is: 3,916,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,924 : 1,880,583 = 1,880,583 : x
  2. Step 2: Convert to fraction form
    902,924/1,880,583 = 1,880,583/x
  3. Step 3: Cross multiply
    902,924x = 1,880,583 × 1,880,583
  4. Step 4: Simplify right side
    902,924x = 3,536,592,419,889
  5. Step 5: Solve for x
    x = 3,536,592,419,889/902,924
  6. Step 6: Final answer
    x = 3,916,821.81

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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.