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Finding the Third Proportional to 481,068 and 1,043,784

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Solution

The third proportional to 481,068 and 1,043,784 is: 2,264,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,068 : 1,043,784 = 1,043,784 : x
  2. Step 2: Convert to fraction form
    481,068/1,043,784 = 1,043,784/x
  3. Step 3: Cross multiply
    481,068x = 1,043,784 × 1,043,784
  4. Step 4: Simplify right side
    481,068x = 1,089,485,038,656
  5. Step 5: Solve for x
    x = 1,089,485,038,656/481,068
  6. Step 6: Final answer
    x = 2,264,721.49

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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.