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Finding the Third Proportional to 1,734,183 and 3,655,323

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Solution

The third proportional to 1,734,183 and 3,655,323 is: 7,704,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734,183 : 3,655,323 = 3,655,323 : x
  2. Step 2: Convert to fraction form
    1,734,183/3,655,323 = 3,655,323/x
  3. Step 3: Cross multiply
    1,734,183x = 3,655,323 × 3,655,323
  4. Step 4: Simplify right side
    1,734,183x = 13,361,386,234,329
  5. Step 5: Solve for x
    x = 13,361,386,234,329/1,734,183
  6. Step 6: Final answer
    x = 7,704,715.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.