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Finding the Third Proportional to 1,689,768 and 3,519,369

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Solution

The third proportional to 1,689,768 and 3,519,369 is: 7,329,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,768 : 3,519,369 = 3,519,369 : x
  2. Step 2: Convert to fraction form
    1,689,768/3,519,369 = 3,519,369/x
  3. Step 3: Cross multiply
    1,689,768x = 3,519,369 × 3,519,369
  4. Step 4: Simplify right side
    1,689,768x = 12,385,958,158,161
  5. Step 5: Solve for x
    x = 12,385,958,158,161/1,689,768
  6. Step 6: Final answer
    x = 7,329,975.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.