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Finding the Third Proportional to 460,191 and 1,008,942

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Solution

The third proportional to 460,191 and 1,008,942 is: 2,212,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,191 : 1,008,942 = 1,008,942 : x
  2. Step 2: Convert to fraction form
    460,191/1,008,942 = 1,008,942/x
  3. Step 3: Cross multiply
    460,191x = 1,008,942 × 1,008,942
  4. Step 4: Simplify right side
    460,191x = 1,017,963,959,364
  5. Step 5: Solve for x
    x = 1,017,963,959,364/460,191
  6. Step 6: Final answer
    x = 2,212,046.65

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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.