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Finding the Third Proportional to 643,498 and 979,083

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Solution

The third proportional to 643,498 and 979,083 is: 1,489,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,498 : 979,083 = 979,083 : x
  2. Step 2: Convert to fraction form
    643,498/979,083 = 979,083/x
  3. Step 3: Cross multiply
    643,498x = 979,083 × 979,083
  4. Step 4: Simplify right side
    643,498x = 958,603,520,889
  5. Step 5: Solve for x
    x = 958,603,520,889/643,498
  6. Step 6: Final answer
    x = 1,489,675.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.