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Finding the Third Proportional to 647,062 and 1,361,036

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Solution

The third proportional to 647,062 and 1,361,036 is: 2,862,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,062 : 1,361,036 = 1,361,036 : x
  2. Step 2: Convert to fraction form
    647,062/1,361,036 = 1,361,036/x
  3. Step 3: Cross multiply
    647,062x = 1,361,036 × 1,361,036
  4. Step 4: Simplify right side
    647,062x = 1,852,418,993,296
  5. Step 5: Solve for x
    x = 1,852,418,993,296/647,062
  6. Step 6: Final answer
    x = 2,862,815.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.