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Finding the Third Proportional to 840,584 and 1,824,052

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Solution

The third proportional to 840,584 and 1,824,052 is: 3,958,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,584 : 1,824,052 = 1,824,052 : x
  2. Step 2: Convert to fraction form
    840,584/1,824,052 = 1,824,052/x
  3. Step 3: Cross multiply
    840,584x = 1,824,052 × 1,824,052
  4. Step 4: Simplify right side
    840,584x = 3,327,165,698,704
  5. Step 5: Solve for x
    x = 3,327,165,698,704/840,584
  6. Step 6: Final answer
    x = 3,958,159.68

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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.