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Finding the Third Proportional to 698,720 and 1,053,876

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Solution

The third proportional to 698,720 and 1,053,876 is: 1,589,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,720 : 1,053,876 = 1,053,876 : x
  2. Step 2: Convert to fraction form
    698,720/1,053,876 = 1,053,876/x
  3. Step 3: Cross multiply
    698,720x = 1,053,876 × 1,053,876
  4. Step 4: Simplify right side
    698,720x = 1,110,654,623,376
  5. Step 5: Solve for x
    x = 1,110,654,623,376/698,720
  6. Step 6: Final answer
    x = 1,589,556.08

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