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Finding the Third Proportional to 647,268 and 1,004,982

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Solution

The third proportional to 647,268 and 1,004,982 is: 1,560,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,268 : 1,004,982 = 1,004,982 : x
  2. Step 2: Convert to fraction form
    647,268/1,004,982 = 1,004,982/x
  3. Step 3: Cross multiply
    647,268x = 1,004,982 × 1,004,982
  4. Step 4: Simplify right side
    647,268x = 1,009,988,820,324
  5. Step 5: Solve for x
    x = 1,009,988,820,324/647,268
  6. Step 6: Final answer
    x = 1,560,387.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.