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Finding the Third Proportional to 1,844,691.75 and 4,052,561.63

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Solution

The third proportional to 1,844,691.75 and 4,052,561.63 is: 8,902,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,691.75 : 4,052,561.63 = 4,052,561.63 : x
  2. Step 2: Convert to fraction form
    1,844,691.75/4,052,561.63 = 4,052,561.63/x
  3. Step 3: Cross multiply
    1,844,691.75x = 4,052,561.63 × 4,052,561.63
  4. Step 4: Simplify right side
    1,844,691.75x = 16,423,255,724,422.64
  5. Step 5: Solve for x
    x = 16,423,255,724,422.64/1,844,691.75
  6. Step 6: Final answer
    x = 8,902,981.07

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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.