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Finding the Third Proportional to 902,921 and 1,880,577

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Solution

The third proportional to 902,921 and 1,880,577 is: 3,916,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,921 : 1,880,577 = 1,880,577 : x
  2. Step 2: Convert to fraction form
    902,921/1,880,577 = 1,880,577/x
  3. Step 3: Cross multiply
    902,921x = 1,880,577 × 1,880,577
  4. Step 4: Simplify right side
    902,921x = 3,536,569,852,929
  5. Step 5: Solve for x
    x = 3,536,569,852,929/902,921
  6. Step 6: Final answer
    x = 3,916,809.83

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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.