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Finding the Third Proportional to 650,941 and 1,005,895

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Solution

The third proportional to 650,941 and 1,005,895 is: 1,554,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,941 : 1,005,895 = 1,005,895 : x
  2. Step 2: Convert to fraction form
    650,941/1,005,895 = 1,005,895/x
  3. Step 3: Cross multiply
    650,941x = 1,005,895 × 1,005,895
  4. Step 4: Simplify right side
    650,941x = 1,011,824,751,025
  5. Step 5: Solve for x
    x = 1,011,824,751,025/650,941
  6. Step 6: Final answer
    x = 1,554,403.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.