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Finding the Third Proportional to 902,695.50 and 1,881,031.50

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Solution

The third proportional to 902,695.50 and 1,881,031.50 is: 3,919,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,695.50 : 1,881,031.50 = 1,881,031.50 : x
  2. Step 2: Convert to fraction form
    902,695.50/1,881,031.50 = 1,881,031.50/x
  3. Step 3: Cross multiply
    902,695.50x = 1,881,031.50 × 1,881,031.50
  4. Step 4: Simplify right side
    902,695.50x = 3,538,279,503,992.25
  5. Step 5: Solve for x
    x = 3,538,279,503,992.25/902,695.50
  6. Step 6: Final answer
    x = 3,919,682.22

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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.