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Finding the Third Proportional to 763,161.75 and 1,676,133

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Solution

The third proportional to 763,161.75 and 1,676,133 is: 3,681,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,161.75 : 1,676,133 = 1,676,133 : x
  2. Step 2: Convert to fraction form
    763,161.75/1,676,133 = 1,676,133/x
  3. Step 3: Cross multiply
    763,161.75x = 1,676,133 × 1,676,133
  4. Step 4: Simplify right side
    763,161.75x = 2,809,421,833,689
  5. Step 5: Solve for x
    x = 2,809,421,833,689/763,161.75
  6. Step 6: Final answer
    x = 3,681,292.77

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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.