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Finding the Third Proportional to 452,638.13 and 942,475.50

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Solution

The third proportional to 452,638.13 and 942,475.50 is: 1,962,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,638.13 : 942,475.50 = 942,475.50 : x
  2. Step 2: Convert to fraction form
    452,638.13/942,475.50 = 942,475.50/x
  3. Step 3: Cross multiply
    452,638.13x = 942,475.50 × 942,475.50
  4. Step 4: Simplify right side
    452,638.13x = 888,260,068,100.25
  5. Step 5: Solve for x
    x = 888,260,068,100.25/452,638.13
  6. Step 6: Final answer
    x = 1,962,406.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.