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Finding the Third Proportional to 832,255 and 1,257,131

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Solution

The third proportional to 832,255 and 1,257,131 is: 1,898,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,255 : 1,257,131 = 1,257,131 : x
  2. Step 2: Convert to fraction form
    832,255/1,257,131 = 1,257,131/x
  3. Step 3: Cross multiply
    832,255x = 1,257,131 × 1,257,131
  4. Step 4: Simplify right side
    832,255x = 1,580,378,351,161
  5. Step 5: Solve for x
    x = 1,580,378,351,161/832,255
  6. Step 6: Final answer
    x = 1,898,911.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.