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Finding the Third Proportional to 460,958 and 1,005,968

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Solution

The third proportional to 460,958 and 1,005,968 is: 2,195,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,958 : 1,005,968 = 1,005,968 : x
  2. Step 2: Convert to fraction form
    460,958/1,005,968 = 1,005,968/x
  3. Step 3: Cross multiply
    460,958x = 1,005,968 × 1,005,968
  4. Step 4: Simplify right side
    460,958x = 1,011,971,617,024
  5. Step 5: Solve for x
    x = 1,011,971,617,024/460,958
  6. Step 6: Final answer
    x = 2,195,366.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.