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Finding the Third Proportional to 623,812 and 1,322,036

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Solution

The third proportional to 623,812 and 1,322,036 is: 2,801,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,812 : 1,322,036 = 1,322,036 : x
  2. Step 2: Convert to fraction form
    623,812/1,322,036 = 1,322,036/x
  3. Step 3: Cross multiply
    623,812x = 1,322,036 × 1,322,036
  4. Step 4: Simplify right side
    623,812x = 1,747,779,185,296
  5. Step 5: Solve for x
    x = 1,747,779,185,296/623,812
  6. Step 6: Final answer
    x = 2,801,772.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.