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Finding the Third Proportional to 460,406.25 and 1,004,442

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Solution

The third proportional to 460,406.25 and 1,004,442 is: 2,191,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,406.25 : 1,004,442 = 1,004,442 : x
  2. Step 2: Convert to fraction form
    460,406.25/1,004,442 = 1,004,442/x
  3. Step 3: Cross multiply
    460,406.25x = 1,004,442 × 1,004,442
  4. Step 4: Simplify right side
    460,406.25x = 1,008,903,731,364
  5. Step 5: Solve for x
    x = 1,008,903,731,364/460,406.25
  6. Step 6: Final answer
    x = 2,191,333.70

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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.