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Finding the Third Proportional to 1,683,345 and 2,611,860

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Solution

The third proportional to 1,683,345 and 2,611,860 is: 4,052,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,345 : 2,611,860 = 2,611,860 : x
  2. Step 2: Convert to fraction form
    1,683,345/2,611,860 = 2,611,860/x
  3. Step 3: Cross multiply
    1,683,345x = 2,611,860 × 2,611,860
  4. Step 4: Simplify right side
    1,683,345x = 6,821,812,659,600
  5. Step 5: Solve for x
    x = 6,821,812,659,600/1,683,345
  6. Step 6: Final answer
    x = 4,052,533.89

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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.