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Finding the Third Proportional to 815,454 and 1,735,884

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Solution

The third proportional to 815,454 and 1,735,884 is: 3,695,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,454 : 1,735,884 = 1,735,884 : x
  2. Step 2: Convert to fraction form
    815,454/1,735,884 = 1,735,884/x
  3. Step 3: Cross multiply
    815,454x = 1,735,884 × 1,735,884
  4. Step 4: Simplify right side
    815,454x = 3,013,293,261,456
  5. Step 5: Solve for x
    x = 3,013,293,261,456/815,454
  6. Step 6: Final answer
    x = 3,695,233.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.