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Finding the Third Proportional to 832,256 and 1,257,130

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Solution

The third proportional to 832,256 and 1,257,130 is: 1,898,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,256 : 1,257,130 = 1,257,130 : x
  2. Step 2: Convert to fraction form
    832,256/1,257,130 = 1,257,130/x
  3. Step 3: Cross multiply
    832,256x = 1,257,130 × 1,257,130
  4. Step 4: Simplify right side
    832,256x = 1,580,375,836,900
  5. Step 5: Solve for x
    x = 1,580,375,836,900/832,256
  6. Step 6: Final answer
    x = 1,898,905.91

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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.