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Finding the Third Proportional to 464,683.50 and 1,016,847

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Solution

The third proportional to 464,683.50 and 1,016,847 is: 2,225,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,683.50 : 1,016,847 = 1,016,847 : x
  2. Step 2: Convert to fraction form
    464,683.50/1,016,847 = 1,016,847/x
  3. Step 3: Cross multiply
    464,683.50x = 1,016,847 × 1,016,847
  4. Step 4: Simplify right side
    464,683.50x = 1,033,977,821,409
  5. Step 5: Solve for x
    x = 1,033,977,821,409/464,683.50
  6. Step 6: Final answer
    x = 2,225,122.74

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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.