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Finding the Third Proportional to 733,513 and 1,589,118

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Solution

The third proportional to 733,513 and 1,589,118 is: 3,442,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,513 : 1,589,118 = 1,589,118 : x
  2. Step 2: Convert to fraction form
    733,513/1,589,118 = 1,589,118/x
  3. Step 3: Cross multiply
    733,513x = 1,589,118 × 1,589,118
  4. Step 4: Simplify right side
    733,513x = 2,525,296,017,924
  5. Step 5: Solve for x
    x = 2,525,296,017,924/733,513
  6. Step 6: Final answer
    x = 3,442,742.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.