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Finding the Third Proportional to 646,958 and 1,403,866

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Solution

The third proportional to 646,958 and 1,403,866 is: 3,046,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,958 : 1,403,866 = 1,403,866 : x
  2. Step 2: Convert to fraction form
    646,958/1,403,866 = 1,403,866/x
  3. Step 3: Cross multiply
    646,958x = 1,403,866 × 1,403,866
  4. Step 4: Simplify right side
    646,958x = 1,970,839,745,956
  5. Step 5: Solve for x
    x = 1,970,839,745,956/646,958
  6. Step 6: Final answer
    x = 3,046,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.