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Finding the Third Proportional to 815,194 and 1,197,735

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Solution

The third proportional to 815,194 and 1,197,735 is: 1,759,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,194 : 1,197,735 = 1,197,735 : x
  2. Step 2: Convert to fraction form
    815,194/1,197,735 = 1,197,735/x
  3. Step 3: Cross multiply
    815,194x = 1,197,735 × 1,197,735
  4. Step 4: Simplify right side
    815,194x = 1,434,569,130,225
  5. Step 5: Solve for x
    x = 1,434,569,130,225/815,194
  6. Step 6: Final answer
    x = 1,759,788.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.