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Finding the Third Proportional to 646,299 and 1,022,913

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Solution

The third proportional to 646,299 and 1,022,913 is: 1,618,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,299 : 1,022,913 = 1,022,913 : x
  2. Step 2: Convert to fraction form
    646,299/1,022,913 = 1,022,913/x
  3. Step 3: Cross multiply
    646,299x = 1,022,913 × 1,022,913
  4. Step 4: Simplify right side
    646,299x = 1,046,351,005,569
  5. Step 5: Solve for x
    x = 1,046,351,005,569/646,299
  6. Step 6: Final answer
    x = 1,618,989.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.