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Finding the Third Proportional to 460,383 and 1,012,131

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Solution

The third proportional to 460,383 and 1,012,131 is: 2,225,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,383 : 1,012,131 = 1,012,131 : x
  2. Step 2: Convert to fraction form
    460,383/1,012,131 = 1,012,131/x
  3. Step 3: Cross multiply
    460,383x = 1,012,131 × 1,012,131
  4. Step 4: Simplify right side
    460,383x = 1,024,409,161,161
  5. Step 5: Solve for x
    x = 1,024,409,161,161/460,383
  6. Step 6: Final answer
    x = 2,225,123.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.