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Finding the Third Proportional to 1,610,728 and 2,257,716

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Solution

The third proportional to 1,610,728 and 2,257,716 is: 3,164,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,728 : 2,257,716 = 2,257,716 : x
  2. Step 2: Convert to fraction form
    1,610,728/2,257,716 = 2,257,716/x
  3. Step 3: Cross multiply
    1,610,728x = 2,257,716 × 2,257,716
  4. Step 4: Simplify right side
    1,610,728x = 5,097,281,536,656
  5. Step 5: Solve for x
    x = 5,097,281,536,656/1,610,728
  6. Step 6: Final answer
    x = 3,164,582.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.