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Finding the Third Proportional to 647,056 and 1,361,024

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Solution

The third proportional to 647,056 and 1,361,024 is: 2,862,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,056 : 1,361,024 = 1,361,024 : x
  2. Step 2: Convert to fraction form
    647,056/1,361,024 = 1,361,024/x
  3. Step 3: Cross multiply
    647,056x = 1,361,024 × 1,361,024
  4. Step 4: Simplify right side
    647,056x = 1,852,386,328,576
  5. Step 5: Solve for x
    x = 1,852,386,328,576/647,056
  6. Step 6: Final answer
    x = 2,862,791.36

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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.