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Finding the Third Proportional to 465,908 and 1,019,052

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Solution

The third proportional to 465,908 and 1,019,052 is: 2,228,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,908 : 1,019,052 = 1,019,052 : x
  2. Step 2: Convert to fraction form
    465,908/1,019,052 = 1,019,052/x
  3. Step 3: Cross multiply
    465,908x = 1,019,052 × 1,019,052
  4. Step 4: Simplify right side
    465,908x = 1,038,466,978,704
  5. Step 5: Solve for x
    x = 1,038,466,978,704/465,908
  6. Step 6: Final answer
    x = 2,228,909.95

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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.