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Finding the Third Proportional to 832,258 and 1,257,133

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Solution

The third proportional to 832,258 and 1,257,133 is: 1,898,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,258 : 1,257,133 = 1,257,133 : x
  2. Step 2: Convert to fraction form
    832,258/1,257,133 = 1,257,133/x
  3. Step 3: Cross multiply
    832,258x = 1,257,133 × 1,257,133
  4. Step 4: Simplify right side
    832,258x = 1,580,383,379,689
  5. Step 5: Solve for x
    x = 1,580,383,379,689/832,258
  6. Step 6: Final answer
    x = 1,898,910.41

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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.