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Finding the Third Proportional to 616,983 and 1,375,747.50

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Solution

The third proportional to 616,983 and 1,375,747.50 is: 3,067,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,983 : 1,375,747.50 = 1,375,747.50 : x
  2. Step 2: Convert to fraction form
    616,983/1,375,747.50 = 1,375,747.50/x
  3. Step 3: Cross multiply
    616,983x = 1,375,747.50 × 1,375,747.50
  4. Step 4: Simplify right side
    616,983x = 1,892,681,183,756.25
  5. Step 5: Solve for x
    x = 1,892,681,183,756.25/616,983
  6. Step 6: Final answer
    x = 3,067,639.11

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.