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Finding the Third Proportional to 800,068 and 1,749,582

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Solution

The third proportional to 800,068 and 1,749,582 is: 3,825,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,068 : 1,749,582 = 1,749,582 : x
  2. Step 2: Convert to fraction form
    800,068/1,749,582 = 1,749,582/x
  3. Step 3: Cross multiply
    800,068x = 1,749,582 × 1,749,582
  4. Step 4: Simplify right side
    800,068x = 3,061,037,174,724
  5. Step 5: Solve for x
    x = 3,061,037,174,724/800,068
  6. Step 6: Final answer
    x = 3,825,971.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.