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Finding the Third Proportional to 771,686.37 and 1,696,095.39

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Solution

The third proportional to 771,686.37 and 1,696,095.39 is: 3,727,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,686.37 : 1,696,095.39 = 1,696,095.39 : x
  2. Step 2: Convert to fraction form
    771,686.37/1,696,095.39 = 1,696,095.39/x
  3. Step 3: Cross multiply
    771,686.37x = 1,696,095.39 × 1,696,095.39
  4. Step 4: Simplify right side
    771,686.37x = 2,876,739,560,848.80
  5. Step 5: Solve for x
    x = 2,876,739,560,848.80/771,686.37
  6. Step 6: Final answer
    x = 3,727,861.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.