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Finding the Third Proportional to 986,738 and 2,156,089

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Solution

The third proportional to 986,738 and 2,156,089 is: 4,711,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,738 : 2,156,089 = 2,156,089 : x
  2. Step 2: Convert to fraction form
    986,738/2,156,089 = 2,156,089/x
  3. Step 3: Cross multiply
    986,738x = 2,156,089 × 2,156,089
  4. Step 4: Simplify right side
    986,738x = 4,648,719,775,921
  5. Step 5: Solve for x
    x = 4,648,719,775,921/986,738
  6. Step 6: Final answer
    x = 4,711,199.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.