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Finding the Third Proportional to 465,938 and 1,019,113

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Solution

The third proportional to 465,938 and 1,019,113 is: 2,229,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,938 : 1,019,113 = 1,019,113 : x
  2. Step 2: Convert to fraction form
    465,938/1,019,113 = 1,019,113/x
  3. Step 3: Cross multiply
    465,938x = 1,019,113 × 1,019,113
  4. Step 4: Simplify right side
    465,938x = 1,038,591,306,769
  5. Step 5: Solve for x
    x = 1,038,591,306,769/465,938
  6. Step 6: Final answer
    x = 2,229,033.28

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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.