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Finding the Third Proportional to 465,946.50 and 1,019,128.50

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Solution

The third proportional to 465,946.50 and 1,019,128.50 is: 2,229,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,946.50 : 1,019,128.50 = 1,019,128.50 : x
  2. Step 2: Convert to fraction form
    465,946.50/1,019,128.50 = 1,019,128.50/x
  3. Step 3: Cross multiply
    465,946.50x = 1,019,128.50 × 1,019,128.50
  4. Step 4: Simplify right side
    465,946.50x = 1,038,622,899,512.25
  5. Step 5: Solve for x
    x = 1,038,622,899,512.25/465,946.50
  6. Step 6: Final answer
    x = 2,229,060.42

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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.