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Finding the Third Proportional to 832,731 and 1,791,761

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Solution

The third proportional to 832,731 and 1,791,761 is: 3,855,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,731 : 1,791,761 = 1,791,761 : x
  2. Step 2: Convert to fraction form
    832,731/1,791,761 = 1,791,761/x
  3. Step 3: Cross multiply
    832,731x = 1,791,761 × 1,791,761
  4. Step 4: Simplify right side
    832,731x = 3,210,407,481,121
  5. Step 5: Solve for x
    x = 3,210,407,481,121/832,731
  6. Step 6: Final answer
    x = 3,855,275.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.