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Finding the Third Proportional to 465,938.16 and 1,019,113.31

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Solution

The third proportional to 465,938.16 and 1,019,113.31 is: 2,229,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,938.16 : 1,019,113.31 = 1,019,113.31 : x
  2. Step 2: Convert to fraction form
    465,938.16/1,019,113.31 = 1,019,113.31/x
  3. Step 3: Cross multiply
    465,938.16x = 1,019,113.31 × 1,019,113.31
  4. Step 4: Simplify right side
    465,938.16x = 1,038,591,943,714.72
  5. Step 5: Solve for x
    x = 1,038,591,943,714.72/465,938.16
  6. Step 6: Final answer
    x = 2,229,033.90

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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.