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Finding the Third Proportional to 646,287 and 1,022,889

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Solution

The third proportional to 646,287 and 1,022,889 is: 1,618,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,287 : 1,022,889 = 1,022,889 : x
  2. Step 2: Convert to fraction form
    646,287/1,022,889 = 1,022,889/x
  3. Step 3: Cross multiply
    646,287x = 1,022,889 × 1,022,889
  4. Step 4: Simplify right side
    646,287x = 1,046,301,906,321
  5. Step 5: Solve for x
    x = 1,046,301,906,321/646,287
  6. Step 6: Final answer
    x = 1,618,943.14

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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.