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Finding the Third Proportional to 465,941.50 and 1,019,120

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Solution

The third proportional to 465,941.50 and 1,019,120 is: 2,229,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,941.50 : 1,019,120 = 1,019,120 : x
  2. Step 2: Convert to fraction form
    465,941.50/1,019,120 = 1,019,120/x
  3. Step 3: Cross multiply
    465,941.50x = 1,019,120 × 1,019,120
  4. Step 4: Simplify right side
    465,941.50x = 1,038,605,574,400
  5. Step 5: Solve for x
    x = 1,038,605,574,400/465,941.50
  6. Step 6: Final answer
    x = 2,229,047.15

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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.