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Finding the Third Proportional to 645,420 and 1,399,704

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Solution

The third proportional to 645,420 and 1,399,704 is: 3,035,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,420 : 1,399,704 = 1,399,704 : x
  2. Step 2: Convert to fraction form
    645,420/1,399,704 = 1,399,704/x
  3. Step 3: Cross multiply
    645,420x = 1,399,704 × 1,399,704
  4. Step 4: Simplify right side
    645,420x = 1,959,171,287,616
  5. Step 5: Solve for x
    x = 1,959,171,287,616/645,420
  6. Step 6: Final answer
    x = 3,035,498.26

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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.