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Finding the Third Proportional to 802,404 and 1,748,745

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Solution

The third proportional to 802,404 and 1,748,745 is: 3,811,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,404 : 1,748,745 = 1,748,745 : x
  2. Step 2: Convert to fraction form
    802,404/1,748,745 = 1,748,745/x
  3. Step 3: Cross multiply
    802,404x = 1,748,745 × 1,748,745
  4. Step 4: Simplify right side
    802,404x = 3,058,109,075,025
  5. Step 5: Solve for x
    x = 3,058,109,075,025/802,404
  6. Step 6: Final answer
    x = 3,811,183.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.