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Finding the Third Proportional to 492,129.75 and 1,023,543

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Solution

The third proportional to 492,129.75 and 1,023,543 is: 2,128,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,129.75 : 1,023,543 = 1,023,543 : x
  2. Step 2: Convert to fraction form
    492,129.75/1,023,543 = 1,023,543/x
  3. Step 3: Cross multiply
    492,129.75x = 1,023,543 × 1,023,543
  4. Step 4: Simplify right side
    492,129.75x = 1,047,640,272,849
  5. Step 5: Solve for x
    x = 1,047,640,272,849/492,129.75
  6. Step 6: Final answer
    x = 2,128,788.74

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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.