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Finding the Third Proportional to 643,863 and 996,507

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Solution

The third proportional to 643,863 and 996,507 is: 1,542,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,863 : 996,507 = 996,507 : x
  2. Step 2: Convert to fraction form
    643,863/996,507 = 996,507/x
  3. Step 3: Cross multiply
    643,863x = 996,507 × 996,507
  4. Step 4: Simplify right side
    643,863x = 993,026,201,049
  5. Step 5: Solve for x
    x = 993,026,201,049/643,863
  6. Step 6: Final answer
    x = 1,542,294.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.