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Finding the Third Proportional to 856,258 and 1,882,009

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Solution

The third proportional to 856,258 and 1,882,009 is: 4,136,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,258 : 1,882,009 = 1,882,009 : x
  2. Step 2: Convert to fraction form
    856,258/1,882,009 = 1,882,009/x
  3. Step 3: Cross multiply
    856,258x = 1,882,009 × 1,882,009
  4. Step 4: Simplify right side
    856,258x = 3,541,957,876,081
  5. Step 5: Solve for x
    x = 3,541,957,876,081/856,258
  6. Step 6: Final answer
    x = 4,136,554.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.