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Finding the Third Proportional to 643,592 and 1,397,898

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Solution

The third proportional to 643,592 and 1,397,898 is: 3,036,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,592 : 1,397,898 = 1,397,898 : x
  2. Step 2: Convert to fraction form
    643,592/1,397,898 = 1,397,898/x
  3. Step 3: Cross multiply
    643,592x = 1,397,898 × 1,397,898
  4. Step 4: Simplify right side
    643,592x = 1,954,118,818,404
  5. Step 5: Solve for x
    x = 1,954,118,818,404/643,592
  6. Step 6: Final answer
    x = 3,036,269.59

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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.