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Finding the Third Proportional to 734,018 and 1,617,046

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Solution

The third proportional to 734,018 and 1,617,046 is: 3,562,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,018 : 1,617,046 = 1,617,046 : x
  2. Step 2: Convert to fraction form
    734,018/1,617,046 = 1,617,046/x
  3. Step 3: Cross multiply
    734,018x = 1,617,046 × 1,617,046
  4. Step 4: Simplify right side
    734,018x = 2,614,837,766,116
  5. Step 5: Solve for x
    x = 2,614,837,766,116/734,018
  6. Step 6: Final answer
    x = 3,562,361.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.