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Finding the Third Proportional to 643,968 and 1,398,690

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Solution

The third proportional to 643,968 and 1,398,690 is: 3,037,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,968 : 1,398,690 = 1,398,690 : x
  2. Step 2: Convert to fraction form
    643,968/1,398,690 = 1,398,690/x
  3. Step 3: Cross multiply
    643,968x = 1,398,690 × 1,398,690
  4. Step 4: Simplify right side
    643,968x = 1,956,333,716,100
  5. Step 5: Solve for x
    x = 1,956,333,716,100/643,968
  6. Step 6: Final answer
    x = 3,037,936.23

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