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Finding the Third Proportional to 840,583 and 1,824,050

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Solution

The third proportional to 840,583 and 1,824,050 is: 3,958,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,583 : 1,824,050 = 1,824,050 : x
  2. Step 2: Convert to fraction form
    840,583/1,824,050 = 1,824,050/x
  3. Step 3: Cross multiply
    840,583x = 1,824,050 × 1,824,050
  4. Step 4: Simplify right side
    840,583x = 3,327,158,402,500
  5. Step 5: Solve for x
    x = 3,327,158,402,500/840,583
  6. Step 6: Final answer
    x = 3,958,155.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.